<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on <italic>s</italic>-convexity in the second sense. Some applications are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in articles of Sarikaya and Xi.</p></abstract>

In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in articles of Sarikaya and Xi.

Some Hadamard and Simpson type inequalities via <italic>s</italic>-convexity and their applications

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some Hadamard and Simpson type inequalities via -convexity and their applications

In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications...

Some Hadamard and Simpson type inequalities via s-convexity and their applications

Published Online: Jul 31, 2020

Page range: 25 - 39

Received: Feb 15, 2019

Accepted: Feb 16, 2020

DOI: https://doi.org/10.2478/gm-2020-0003

Keywords
-convex functions, Hadamard inequality, Simpson inequality, Bullen inequality

© 2020 Musa Çakmak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some Hadamard and Simpson type inequalities via s-convexity and their applications

Published Online: Jul 31, 2020

Page range: 25 - 39

Received: Feb 15, 2019

Accepted: Feb 16, 2020

DOI: https://doi.org/10.2478/gm-2020-0003

Keywords-convex functions, Hadamard inequality, Simpson inequality, Bullen inequality

© 2020 Musa Çakmak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
-convex functions, Hadamard inequality, Simpson inequality, Bullen inequality