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Approximately two-dimensional harmonic (p1,h1)-(p2,h2)-convex functions and related integral inequalities.
- Source :
-
Journal of Inequalities & Applications . 10/9/2020, Vol. 2020 Issue 1, p1-34. 34p. - Publication Year :
- 2020
-
Abstract
- The aim of this study is to introduce the notion of two-dimensional approximately harmonic (p 1 , h 1) - (p 2 , h 2) -convex functions. We show that the new class covers many new and known extensions of harmonic convex functions. We formulate several new refinements of Hermite–Hadamard like inequalities involving two-dimensional approximately harmonic (p 1 , h 1) - (p 2 , h 2) -convex functions. We discuss in detail the special cases that can be deduced from the main results of the paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL functions
*INTEGRAL inequalities
*HARMONIC functions
*CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2020
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 146367202
- Full Text :
- https://doi.org/10.1186/s13660-020-02495-6