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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2023 (2023), Article ID 2

Integral inequalities of Hermite-Hadamard type for L-bounded norm weak convex mappings

S. S. Dragomir

PDF (168.9 KB) https://doi.org/10.28919/aia/7794

Abstract

In this paper we introduce a class of functions that extends the concept of Lipschitzian function and called them L-bounded norm weak convex functions. Integral inequalities of Hermite-Hadamard type are obtained and applications for discrete inequalities of Jensen type are provided as well.

Published
21 November 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 S. S. Dragomir. 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

S. S. Dragomir, Integral inequalities of Hermite-Hadamard type for L-bounded norm weak convex mappings, Adv. Inequal. Appl. 2023 (2023), 2. https://doi.org/10.28919/aia/7794

BibTeX
@article{Dragomir2023,
  author  = {Dragomir, S. S.},
  title   = {Integral inequalities of Hermite-Hadamard type for L-bounded norm weak convex mappings},
  journal = {Adv. Inequal. Appl.},
  volume  = {2023},
  year    = {2023},
  pages   = {2},
  doi     = {10.28919/aia/7794}
}