Hermite–Hadamard–Fejér type inequalities forp -convex functions
Author(s) -
Mehmet Kunt,
İmdat İşcan
Publication year - 2016
Publication title -
arab journal of mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.353
H-Index - 11
eISSN - 2588-9214
pISSN - 1319-5166
DOI - 10.1016/j.ajmsc.2016.11.001
Subject(s) - mathematics , convex function , hadamard transform , hermite polynomials , type (biology) , regular polygon , pure mathematics , subderivative , mathematical analysis , combinatorics , convex optimization , geometry , ecology , biology
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained. Finally, some Hermite–Hadamard and Hermite–Hadamard–Fejér inequalities for convex, harmonically convex and p-convex functions are given. Some results presented here for p-convex functions provide extensions of others given in earlier works for convex and harmonically convex and p-convex functions
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