Certain inequalities for s-convex functions via Caputo fractional derivative and Caputo-Fabrizio integral operator

Authors

  • Gültekin Tınaztepe Akdeniz University
  • Ilknur Yeşilce Işık Aksaray University
  • SERAP KEMALİ Akdeniz University
  • Gabil Adilov Akdeniz University

DOI:

https://doi.org/10.30495/jme.v15i0.2094

Keywords:

Convex functions, s-convexity, Hermite-Hadamard type inequality, Caputo fractional derivatives, Caputo, Fabrizio integral operator.

Abstract

In this paper, several integral inequalities for the functions whose derivatives are s-convex functions in the8 fourth sense are obtained by means of Caputo fractional derivative and Caputo-Fabrizio integral operator. Also the9 Hermite-Hadamard type inequalities for s-convex functions and their products are stated via Caputo-Fabrizio integral10 operator.

Author Biographies

Gültekin Tınaztepe, Akdeniz University

 

Associate Professor

Vocational School of Technical Sciences, Akdeniz University, Antalya, Turkey

Ilknur Yeşilce Işık, Aksaray University

Associate Professor

Faculty of Science and Letters, Department of Mathematics, Aksaray, Turkey,

SERAP KEMALİ, Akdeniz University


Assistant Professor

Vocational School of Technical Sciences, Antalya, Turkey

Gabil Adilov, Akdeniz University

Faculty of Education, Antalya,Turkey

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Published

2021-12-30

Issue

Section

Vol. 15, No. 5, (2021)