A novel analysis of integral inequalities in the frame of fractional calculus-Reference-Cited by-同舟云学术

A novel analysis of integral inequalities in the frame of fractional calculus

Published:2022-06-30 Issue:2 Volume:71 Page:533-553
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

KODAMASİNGH Bibhakar¹,TARİQ Muhammad²,NASİR Jamshed³,SAHOO Soubhagya¹

Affiliation:

1. Siksha O Anusandhan University, Bhubaneswar, Odisha, India

2. Mehran University of Engineering and Technology, Jamshoro, Pakistan

3. Virtual University Islamabad, Lahore Campus, Pakistan

Abstract

In this paper, we define and explore the new family of exponentially convex functions which are called exponentially s–convex functions. We attain the amazing examples and algebraic properties of this newly introduced function. In addition, we find a novel version of Hermite-Hadamard type inequality in the support of this newly introduced concept via the frame of classical and fractional calculus (non-conformable and Riemann-Liouville integrals operator). Furthermore, we investigate refinement of Hermite-Hadamard type inequality by using exponentially s–convex functions via fractional integraloperator. Finally, we elaborate some Ostrowski type inequalities in the frame of fractional calculus. These new results yield us some generalizations of the prior results.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

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