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

Bhagwat R. Yewale; Deepak B. Pachpatte

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

Volume 18, Issue 1 Pages 97-112 April 30, 2022 317 downloads

Article overview

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 inequalityH\"{o}lder inequalityHardy inequality$\psi$-Riemann-Liouville fractional integralfractional integral operator.

AMS Subject Classification

26A33, 26D10.

Reference information

How to Cite

Bhagwat R. Yewale, Deepak B. Pachpatte (2022). ON SOME REVERSES OF MINKOWSKI'S, H\"{O}LDER'S AND HARDY'S TYPE INEQUALITIES USING $\psi$-FRACTIONAL INTEGRAL OPERATORS. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 97-112.

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