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Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions
2022
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.1110051
Abstract:

In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are arithmetically harmonically (AH) convex. In the last part of the article, applications including arithmetic mean, geometric mean, harmonic mean, logarithmic mean and p-logarithmic mean, which are some special means of real numbers, are given by using arithmetic harmonically convex functions.

Keywords:

2022
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.1110051
0
2022
Journal:  
Cumhuriyet Science Journal
Author:  
DOI:  
10.17776/csj.1110051
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Cumhuriyet Science Journal

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

Metrics
Article : 1.227
Cite : 636
2023 Impact : 0.077
Details
Cumhuriyet Science Journal