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Article

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Title

On Hermite-Hadamard type inequalities for functions whose first derivative absolute values are convex and concave

Authors

Year of publication

2017

Published in

Fasciculi Mathematici

Journal year: 2017 | Journal number: nr 58

Article type

scientific article

Publication language

english

Keywords
EN
  • Hermite-Hadamard inequality
  • convex functions
  • power-mean inequality
  • Hölder’s inequality
  • special means
  • mid-point formula.
Abstract

EN In this paper, we derive general integral identity by establishing new Hermite-Hadamard type inequalities for functions whose absolute values of derivatives are convex and concave. Corresponding error estimates for midpoint formula are also included. Moreover, some applications to special means of real numbers are also provided.

Pages (from - to)

155 - 166

DOI

10.1515/fascmath-2017-0011

License type

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

Full text of article

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public

Ministry points / journal

10

Ministry points / journal in years 2017-2021

10

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