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22/06/2014, 03:20
... s 2.4 −1 −1 Obviously, W1 , W2 , and Φ are strictly increasing in u > 0, and therefore the inverses W1 , W2 , and Φ−1 are well defined, continuous, and increasing We note that u dx Φ u −1 W −1 ... Analysis and Applications, vol 135, no 2, pp 399–405, 1988 D S Mitrinovi´ , J E Peˇ ari´ , and A M Fink, Inequalities Involving Functions and Their Integrals and c c c Derivatives, vol 53 of Mathematics ... Letting ε → , we obtain 2.6 because of continuity of r1,ε in −1 −1 ε and continuity of ψ −1 , W1 , W, W2 , and W2 This completes the proof W.-S Wang and C.-X Shen Applications In 11 , the partial...