<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

Publié en ligne: 31 juil. 2020

Pages: 25 - 39

Reçu: 15 févr. 2019

Accepté: 16 févr. 2020

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

Mots clés
-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

Publié en ligne: 31 juil. 2020

Pages: 25 - 39

Reçu: 15 févr. 2019

Accepté: 16 févr. 2020

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

Mots clés-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.

Mots clés
-convex functions, Hadamard inequality, Simpson inequality, Bullen inequality