First order derivatives new h.hadamard type ınequalities for harmonically h  convex functions

Merve KULE; Mehmet Eyüp KİRİŞ

doi:https://doi.org/10.17776/csj.538397

Article Details

First order derivatives new h.hadamard type ınequalities for harmonically h convex functions

Authors:

Merve KULE | Mehmet Eyüp KİRİŞ

Main Topics:

Mathematics

Journal:

Cumhuriyet Science Journal 2020 Vol.41 Issue 1, pp.69-84

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000920402

DOI:

https://doi.org/10.17776/csj.538397

Abstract:

 


In this study, we derived a new integral identity for differentiable functions. However, we get new inequalities which is well known as Hermite-Hadamard (H-H) type by using the integral identity, which unifies the class of new and known harmonically convex functions. Moreover, in this study, the properties of first and second kind harmonically s-convex and harmonically s-Godunova-Levin functions are studied and some special cases are also dealt. Some important inferences are made at this study for supporting the results that obtained for classes of harmonically convex functions in previous studies. 


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Article Details

First order derivatives new h.hadamard type ınequalities for harmonically h convex functions

Authors: Merve KULE | Mehmet Eyüp KİRİŞ

Main Topics: Mathematics

Journal: Cumhuriyet Science Journal 2020 Vol.41 Issue 1, pp.69-84

Document Type: Article

Publication Date: 3/2020

Document Language: English

Document ID (Org No.): 2000920402

DOI: https://doi.org/10.17776/csj.538397

Issues

Authors:

Merve KULE | Mehmet Eyüp KİRİŞ

Main Topics:

Mathematics

Journal:

Cumhuriyet Science Journal 2020 Vol.41 Issue 1, pp.69-84

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000920402

DOI:

https://doi.org/10.17776/csj.538397