Some new extension of Levinson’s integral inequalities

Authors

  • Bouharket Benaissa

DOI:

https://doi.org/10.30495/jme.v0i0.1711

Keywords:

H¨older’s inequality, Levinson inequality, convex, concave.

Abstract

In 1964, Levinson [4] proved integral inequalities concerning generalization of Hardy’s inequalities. In this paper two results are given. First one is extension of the Levinson Integral inequalities via convexity and the second is for the Levinson Integral inequalities of Hardy, this inequalities are established for p < 1 and some related inequalities are also considered with a sharp constant.

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Published

2021-02-12

Issue

Section

Vol. 15, No. 4, (2021)