SOME HARDY-TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA DELTA FRACTIONAL INTEGRALS-Reference-Cited by-同舟云学术

SOME HARDY-TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA DELTA FRACTIONAL INTEGRALS

Published:2021-09-08 Issue: Volume: Page:2240004
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG FUZHANG¹²³,HANIF USAMA⁴,NOSHEEN AMMARA⁴,KHAN KHURAM ALI⁵,AHMAD HIJAZ⁶⁷,NONLAOPON KAMSING⁸

Affiliation:

1. School of Mathematical and Statistics, Xuzhou University of Technology, Xuzhou 2221018, Jiangsu, China

2. Nanchang Institute of Technology, Nanchang 330044, China

3. College of Mathematics, Huaibei Normal University, Huaibei 235000, China

4. Department of Mathematics & Statistics, The University of Lahore, Sargodha, Campus, Sargodha, Pakistan

5. Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan

6. Department of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pakhtunkhwa, Pakistan

7. Section of Mathematics, International, Telematic University Uninettuno, Corso Vittorio, Emanuele II, 39, 00186 Roma, Italy

8. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

In this paper, some Jensen- and Hardy-type inequalities for convex functions are extended by using Riemann–Liouville delta fractional integrals. Further, some Pólya–Knopp-type inequalities and Hardy–Hilbert-type inequality for convex functions are also proved. Moreover, some related inequalities are proved by using special kernels. Particular cases of resulting inequalities provide the results on fractional calculus, time scales calculus, quantum fractional calculus and discrete fractional calculus.

Funder

National Natural Science Foundation of Anhui Province

University Natural Science Research Project of Anhui Province

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22400047

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