... & Sons, 1997.3. K. J. Falconer, Fractal Geometry, Mathematical Foundations and Applications,JohnWiley & Sons, 1993.50Truong Thi Thuy Duong, Le Xuan Son, Pham Quang Trinh, Vu Hong Thanh4. ... is proved.The following proposition provides a useful formula for calculating the local dimen-sion and it is proved similarly as the proof of Proposition 2.3 in [11] and using Lemma2.7. ... dimension. In Section 3, we provethe maximal sequences, it is used to find the lower local dimension. The proof of the MainTheorem will be given in the last section.2. The formula for calculating...