ON SOME REVERSES OF MINKOWSKI'S, H\"{O}LDER'S AND HARDY'S TYPE INEQUALITIES USING $\psi$-FRACTIONAL INTEGRAL OPERATORS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 202

Volume : 18 , Issue : 1
DOI:
Author :
Bhagwat R. Yewale (Department of Mathematics, Dr. B. A. M. University, Jaisingpura, Aurangabad - 431004, Maharashtra, INDIA)
Deepak B. Pachpatte (Department of Mathematics, Dr. B. A. M. University, Jaisingpura, Aurangabad - 431004, Maharashtra, INDIA)

Abstract

In present paper, we establish new reverses of Minkowski, H\"{o}lder and Hardy type inequalities by using $\psi$-Riemann-Liouville fractional integral operator.

Keywords and Phrases

Minkowski inequality, H\"{o}lder inequality, Hardy inequality, $\psi$-Riemann-Liouville fractional integral, fractional integral operator.

A.M.S. subject classification

26A33, 26D10.

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