Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals

Author:

Mohsin Bandar Bin1,Awan Muhammad Uzair2ORCID,Javed Muhammad Zakria2,Budak Hüseyin3ORCID,Khan Awais Gul2,Noor Muhammad Aslam4ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

2. Department of Mathematics, Government College University, Faisalabad, Pakistan

3. Department of Mathematics, Faculty of Science and Arts, D üzce University, Düzce, Turkey

4. Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

Abstract

The aim of this article is to obtain some new integral inclusions essentially using the interval-valued harmonically co-ordinated convex functions and κ -Raina’s fractional double integrals. To show the validity of our theoretical results, we also give some numerical examples.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

General Mathematics

Reference27 articles.

1. On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane;S. S. Dragomir;Taiwanese Journal of Mathematics,2001

2. Hermite–Hadamard type inequalities for harmonically convex functions;I. Iscan;Hacettepe Journal of Mathematics and Statistics,2014

3. On midpoint convex set-valued functions

4. On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions

5. Non-Connected Convexities and Applications

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