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# Analysis

### International mathematical journal of analysis and its applications

CiteScore 2018: 0.72

SCImago Journal Rank (SJR) 2018: 0.363
Source Normalized Impact per Paper (SNIP) 2018: 0.530

Mathematical Citation Quotient (MCQ) 2018: 0.36

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2196-6753
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Volume 37, Issue 4

# s-convex functions on discrete time domains

Hatice Yaldız
/ Praveen Agarwal
• Corresponding author
• Department of Mathematics, Anand International College of Engineering, Near Kanota, Agra Road, Jaipur 303012, Rajasthan, India
• Email
• Other articles by this author:
Published Online: 2017-09-01 | DOI: https://doi.org/10.1515/anly-2017-0015

## 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 $ℤ$. 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 $ℤ$). Finally, we state and prove the discrete fractional Hermite–Hadamard inequality for s-convex functions by using the basics of discrete fractional calculus.

MSC 2010: 26B25; 26A33; 39A12; 39A70; 26E70; 26D07; 26D10; 26D15

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Revised: 2017-07-04

Accepted: 2017-08-07

Published Online: 2017-09-01

Published in Print: 2017-11-01

Citation Information: Analysis, Volume 37, Issue 4, Pages 179–184, ISSN (Online) 2196-6753, ISSN (Print) 0174-4747,

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© 2017 Walter de Gruyter GmbH, Berlin/Boston.