jensen s inequality for integrals
Báo cáo hóa học: " Research Article Jensen’s Inequality for Convex-Concave Antisymmetric Functions and Applications" pptx
... Inequalities and Applications holds for every x, y ∈ I It is clear that every convex function is Jensen- convex To see that the class of convex functions is a proper subclass of Jensen- convex functions, ... proof, see 2, page 71 or 1, page 53 A class of functions which is between the class of convex functions and the class of Jensen- convex functions is the class of Wright-convex functions A function ... and J Peˇ ari´ , “Generalizations of the Jensen inequality, ” Osterreichische Akademie der c c c Wissenschaften Mathematisch-Naturwissenschaftliche Klasse Sitzungsberichte, vol 196, no 1–3, pp...
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Báo cáo hóa học: " Research Article A Refinement of Jensen’s Inequality for a Class of Increasing and Concave Functions" pptx
... function f for various unknown weight vectors p This is why the statement of Theorem 1.2 makes the assumption that this is true for all possible weight vectors The following lemma gives a simple sufficient ... can choose any θ1 satisfying ≤ θ1 ≤ μ1 For n > 2, let us suppose that 1.3 has been proved for up to n − 1, and consider the case of n Fix x1 , , xn We may assume that all xk are distinct ... 1.14 k Define the set S by S p1 , , pn | pk ≥ 0, ∀k 1.15 We wish to show h p ≥ on the set S subject to the constraint p1 · · · pn Suppose the minimum of h p is in the interior of S By the Lagrange...
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Báo cáo hóa học: " Research Article The Best Lower Bound Depended on Two Fixed Variables for Jensen’s Inequality with Ordered Variables" pot
... Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993 S S Dragomir, J Peˇ ari´ , and L E Persson, “Properties of some functionals related to Jensen s c c inequality, ” ... Rk xk Since Qi pi ··· pk−1 Rk 1, this inequality is a consequence of Jensen s inequality Thus, the proof is completed 4.3 10 Journal of Inequalities and Applications Proof of Propositions Proof ... and g x is strictly Since g x ≥ for x ≥ 1, g x is strictly increasing, g x ≥ g 0, g x is strictly increasing, and hence g x ≥ g for increasing, g x ≥ g x ≥ Proof of Proposition 2.13 Using Corollary...
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Jensen’s Inequality
... r ,n g Sn ; and this last expression is the value of the European derivative security Of course, the LHS cannot be strictly less than the RHS above, since stopping at time n is always allowed, ... g S = IE 1 + r ,n g Sn : 94 S2 (HH) = 16 S (H) = S2 (HT) = S =4 S2 (TH) = S1 (T) = S2 (TT) = Figure 7.3: A three period binomial model 7.3 Stopped Martingales Let fYk gn=0 be a stochastic ... American call Assume that r Consider the American derivative security with payoff g Sk in period k The value of this security is the same as the value of the simple European derivative security...
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Báo cáo hóa học: " A new interpretation of Jensen’s inequality and geometric properties of -means" pptx
... − s2 = s1 λc,ϕ,ψ (x) + − s1 λc, s1 , s2 (x) = for each x Î I\{c} Therefore, we have λc, s1 , s2 (x) = s2 λc,ϕ,ψ (x) + − s2 (s1 = 0) (3) and λc, s1 , s2 (x) = s2 s − s1 − s1 s1 λc,ϕ,ψ (x) − s1 ... (8) by Jensen s inequality This also means M (f) ≤ M ψ (f) because ψ is monotone decreasing on I For the strict case, since g is a non-constant function on Ω, we obtain the desired results from ... result asserts that a -mean function: ∇ ® M (f) is well defined and order preserving, and this assertion simultaneously gives a new interpretation of Jensen s inequality However, this assertion...
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Báo cáo hóa học: " Research Article Diamond-α Jensen’s Inequality on Time Scales" pdf
... scales as introduced in Hilger s thesis see also 8, In Section 3, we present our main results which are generalizations of Jensen s inequality on time scales Some examples and applications are ... b−a b g s s a 1−α b−a b g s s a b b 1 ≤ αf g s s 1−α f g s s b−a a b−a a Using now Jensen s inequality on time scales see Theorem 1.2 , we get f b g a s ♦α s b−a ≤ α b−a b f g s s a α b−a ... h s ♦α s , 3.7 then using 3.6 and item of Lemma 2.2, we get b h s f g s ♦α s − a b h s ♦α s f b a a b b h s f g s ♦α s − a h s g s ♦α s b a h s ♦α s h s ♦α s f t a b hs f g s − f t ♦α s a ≥ at...
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Báo cáo hóa học: "Research Article On the Precise Asymptotics of the Constant in Friedrich’s Inequality for Functions " potx
... will be established Hence, it is possible to construct the lower and the upper bounds for Kε Proofs of the main results and some auxiliary results In Sections 3.1 and 3.2 we discuss, present, and ... fact this was our original interest in the subject The paper is organized as follows In Section 2, we present and discuss our main results In Section 3, these results are proved via some auxiliary ... results, which are of independent interest In Section 4, we consider partial cases, where it is possible to give the asymptotic expansion for the constant with respect to ε The main results It...
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Báo cáo hóa học: " Research Article General Fritz Carlson’s Type Inequality for Sugeno Integrals" pptx
... Main Results This section provides a generalization of Fritz Carlson s type inequality for Sugeno integrals Before stating our main results, we need the following lemmas μ Lemma 2.1 see 11 Let ... fuzzy a c integrals, ” Information Sciences, vol 177, no 15, pp 3192–3201, 2007 R Mesiar and Y Ouyang, “General Chebyshev type inequalities for Sugeno integrals, ” Fuzzy Sets and Systems, vol 160, no ... Minkowski type inequalities for Sugeno integrals, ” Fuzzy Sets and Systems, vol 161, no 5, pp 708–715, 2010 J Caballero and K Sadarangani, “Hermite-Hadamard inequality for fuzzy integrals, ” Applied...
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Báo cáo hóa học: " Letter to the Editor Remarks on “On a Converse of Jensen’s Discrete Inequality” of S. Simic ´" doc
... Applications, c c vol 187 of Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1992 S Simi´ , “On a converse of Jensen s discrete inequality, ” Journal of Inequalities and ... and Beesack proved the next result which presents generalization of c c Knopp s inequality for convex functions see also , 1, pages 101–103 Theorem see 3, Theorem Let L satisfy properties (L1), ... case of a discrete positive functional A f 1, pi > 0, i pi f xi , i pi we can get a discrete version of Theorem It is obvious that the main results presented in are special cases of results given...
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Báo cáo hóa học: " Research Article On a Converse of Jensen’s Discrete Inequality" doc
... The expression Sf a, b represents the best possible global upper bound for Jensen s inequality written in the form 1.4 Journal of Inequalities and Applications 3 Proofs We will give proofs of the ... sequel we will give some examples to demonstrate the fruitfulness of the assertions from Theorem 2.1 Since all bounds will be given as a combination of means from the Stolarsky class, here is ... It is not difficult to prove that is the best possible global lower bound for Jensen s inequality written in the above form Our aim in this paper is to find the best possible global upper bound for...
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báo cáo khoa học: "Interest in quantitative genetics of Dutt’s and Deak’s methods for numerical computation of multivariate normal probability integrals" potx
... N successes, the * /N * probability considered is estimated by N Using generate the (details sets of Deak s its sampling Cholesky decomposition n results from developing this method in such variance ... careless use of this method may lead to obvious errors in certain cases This justifies a more systematic study of this precision in order to better define the conditions of its reliable use In ... HASTINGS TEGUN (1955) is often used because of its simplicity and precision It is observed that its precision is greater than Dutt s for truncation points larger than 4.5 and therefore was used...
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Choosing a treatment that,s right for you
... Kidney Diseases (NIDDK) fact sheet Vascular Access for Hemodialysis Who Performs It Hemodialysis is usually done in a dialysis center by nurses and trained technicians In some parts of the country, ... there is adequate time—usually from 10 days to or weeks for the insertion site to heal This is another way in which planning your dialysis access can improve treatment success This catheter stays ... these drugs may also cause liver or kidney damage in a few patients Diet for Transplantation Diet for transplant patients is less limited than it is for dialysis patients, although you may still...
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Man's Search For Meaning
... PRESS Most Washington Square Press Books are available at special quantity discounts for bulk purchases for sales promotions, premiums or fund raising Special books or book excerpts can also be ... Konzentrationslager This translation first published by Beacon Press in 1959 Beacon Press books are published under the auspices of the Unitarian Universalist Association A Washington Square Press Publication ... these distressing disorders in the anxiety caused by conflicting and unconscious motives Frankl distinguishes several forms of neurosis, and traces some of them (the noögenic neuroses) to the...
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Application of house’s model for translation quality assessment in assessing the english version of the vietnam’s law on investment no. 59/2005/qh11
... for assessment is necessary Among the various criteria and models for translation quality assessment, House s model is chosen in this study because it is deemed to have a comprehensive set of ... different views on equivalence will be discussed but there shall be no separate discussion of translation assessment; instead, it is implied that assessment of a translation is based on the respective ... has been translated into English by several translators An assessment of the English version of this law is thus desirable 2 Significance of the study The results of this study will help test...
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UNIT 5 - B1(It''''s time for recess)
... and answer: 1/ What you usually at recess? 2/ Do you usually talk with your friends at recess? 3/ What you usually after school? In groups, describe a recess of your school • Time • Students’ feeling ... English class today? Today we have English class at … Number What you often after school? Number Are you interested in learning English? Why? Number What you study in Literature class? We study ... the answer: Which activity is the most popular activity at recess? Talking What is the boy doing? He is playing blindman s bluff What are the girls doing? They are skipping rope In pairs, ask...
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Tài liệu Kidney Failure - CHOOSING A TREATMENT THAT’S RIGHT FOR YOU docx
... Kidney Diseases (NIDDK) fact sheet Vascular Access for Hemodialysis Who Performs It Hemodialysis is usually done in a dialysis center by nurses and trained technicians In some parts of the country, ... there is adequate time—usually from 10 days to or weeks for the insertion site to heal This is another way in which planning your dialysis access can improve treatment success This catheter stays ... these drugs may also cause liver or kidney damage in a few patients Diet for Transplantation Diet for transplant patients is less limited than it is for dialysis patients, although you may still...
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Tài liệu Owner''''s Handbook for Vehicle P2 pptx
... the switch again stops this movement Comfort functions > Press the switch twice with the roof open: The roof is raised Raising Press the switch If the roof is closed, it is raised and the sliding ... The glass roof and sliding trim open in unison for as long as you hold the switch in this position Press the safety switch when carrying children on the rear seat, otherwise careless closing of ... front passenger 's side as a tray Make sure that the front passenger likewise adopts a correct seated position and does not rest feet or legs on the instrument panel, for example, otherwise he/she...
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Tài liệu NIEHS/EPA Children’s Environmental Health and Disease Prevention Research Centers: Protecting Children’s Health for a Lifetime pptx
... established by NIEHS and EPA, with a research emphasis on children s asthma and other respiratory diseases, as well as ways to reduce exposure to pesticides for children in agricultural settings 2004: ... health research 5-Year Grants These larger grants are awarded to research institutions to assemble teams of multidisciplinary scientists from a range of fields to study complex problems during ... contaminants To better understand the effects of these exposures, the NIEHS/EPA Children s Environmental Health and Disease Prevention Research Centers (Children s Centers) were established to better...
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