<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.</p>
</abstract>

In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.

Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

Department of Mathematics, Faculty of Technical Science

Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences

Department of Mathematics and Applied, Mathematics

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities...

Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

Published Online: Jun 17, 2021

Page range: 37 - 66

DOI: https://doi.org/10.2478/jamsi-2021-0003

Keywords
Inequalities, convexity, Raina’s function, special means, error estimation

© 2021 A. Kashuri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

Published Online: Jun 17, 2021

Page range: 37 - 66

DOI: https://doi.org/10.2478/jamsi-2021-0003

KeywordsInequalities, convexity, Raina’s function, special means, error estimation

© 2021 A. Kashuri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Inequalities, convexity, Raina’s function, special means, error estimation