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Article


Title

Some new Hermite-Hadamard type inequalities via k-fractional integrals concerning differentiable generalized relative semi-(r; m, p, q, h1 , h2)-preinvex mappings

Authors

Year of publication

2018

Published in

Fasciculi Mathematici

Journal year: 2018 | Journal number: nr 60

Article type

scientific article

Publication language

english

Keywords
EN
  • Hermite-Hadamard type inequality
  • Hölder's inequality
  • Minkowski inequality
  • power mean inequality
  • k-fractional integrals
  • m-invex
Abstract

EN In this article, we first presented a new identity concerning differentiable mappings defined on m-invex set via k-fractional integrals. By using the notion of generalized relative semi-(r; m, p, q, h1, h2 )-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard type inequalities via k-fractional integrals are established. It is pointed out that some new special cases can be deduced from main results of the article.

Pages (from - to)

59 - 78

DOI

10.1515/fascmath-2018-0004

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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Access level to full text

public

Points of MNiSW / journal

10.0

Points of MNiSW / journal in years 2017-2021

10.0

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