Local Fractional Integral Hölder-Type Inequalities and Some Related Results
Guang-Sheng Chen, Jiansuo Liang, H. M. Srivastava, Chao Lv
Abstract
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang. Then, based on the obtained results, we derive some related inequalities including local fractional integral Minkowski-type and Dresher-type inequalities, which are some extensions of several existing local fractional integral inequalities.
Topics & Concepts
MathematicsType (biology)InequalityMinkowski spaceMinkowski inequalityFractional calculusHölder's inequalityMathematical analysisPure mathematicsLinear inequalityGeometryEcologyBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsFractional Differential Equations Solutions