Generalizations of Holder's and some related integral inequalities on fractal space

Abstract

Based on the local fractional calculus, we establish some new generalizations of Hölder's inequality. By using it, some results on the generalized integral inequality in fractal space are investigated in detail.

8 pages

References in corpus (2)

• Generalized Local Fractional Taylor's Formula with Local Fractional Derivative
• Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function