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Licensed Unlicensed Requires Authentication Published by Oldenbourg Wissenschaftsverlag September 1, 2017

s-convex functions on discrete time domains

  • Hatice Yaldız and Praveen Agarwal EMAIL logo
From the journal Analysis

Abstract

In the present work, we give the definition of an s-convex functions for a convex real-valued function f defined on the set of integers . We state and prove the discrete Hermite–Hadamard inequality for s-convex functions by using the basics of discrete calculus (i.e. the calculus on ). Finally, we state and prove the discrete fractional Hermite–Hadamard inequality for s-convex functions by using the basics of discrete fractional calculus.

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Received: 2017-2-18
Revised: 2017-7-4
Accepted: 2017-8-7
Published Online: 2017-9-1
Published in Print: 2017-11-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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