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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2018 (2018), Article ID 4

Hermite-Hadamard type inequality for Sugeno integrals using general (alpha,m,r) - convex functions

Deepak B. Pachpatte, Kavita U. Shinde

PDF (164.9 KB) https://doi.org/10.28919/aia/3505

Abstract

The aim of this paper is to obtain, Hermite-Hadamard type inequality for product of convex function using Sugeno integral which is based on general $(\alpha,m,r)$-convex function. Some examples are also given.

Published
2 February 2018
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2018 Deepak B. Pachpatte, Kavita U. Shinde. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

D. B. Pachpatte, K. U. Shinde, Hermite-Hadamard type inequality for Sugeno integrals using general (alpha,m,r) - convex functions, Adv. Inequal. Appl. 2018 (2018), 4. https://doi.org/10.28919/aia/3505

BibTeX
@article{Pachpatte2018,
  author  = {Pachpatte, Deepak B. and Shinde, Kavita U.},
  title   = {Hermite-Hadamard type inequality for Sugeno integrals using general (alpha,m,r) - convex functions},
  journal = {Adv. Inequal. Appl.},
  volume  = {2018},
  year    = {2018},
  pages   = {4},
  doi     = {10.28919/aia/3505}
}