Results 11 to 20 of about 2,908,802 (243)

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

Journal of Mathematics, 2020
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung, Muhammad Yussouf, Yu-Ming Chu, Ghulam Farid, Shin Min Kang   +4 more
doaj   +2 more sources

Some Integral Inequalities for Harmonically (α,s)-Convex Functions

Journal of Function Spaces, 2019
In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically α,s-convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically α,s-convex functions.
Serap Özcan
doaj   +2 more sources

Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions [PDF]

Journal of Applied Mathematics, 2014
We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically ...
Feixiang Chen, Shanhe Wu
doaj   +2 more sources

Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions

Cumhuriyet Science Journal, 2022
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 ...
Huriye Kadakal
doaj   +2 more sources

Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application

Journal of Function Spaces, 2019
Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
doaj   +2 more sources

On Quasi Convex Functions and Hadamard's Inequality [PDF]

, 2003
In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, Jquasi- convex functions, Wright-convex functions and Wright-quasi-convex ...
Yang, Gou-Sheng, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +6 more sources

Fejer Type Inequalities for Harmonically (s,m)-Convex Functions [PDF]

International Journal of Analysis and Applications, 2016
In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic (s,m)-convexity, analysis and some auxiliary results, some new Fejér ...
Imran Abbas Baloch, Imdat Icscan, Silvestru Sever Dragomir   +2 more
doaj   +3 more sources

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means [PDF]

International Journal of Analysis and Applications, 2017
In this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex ...
M. A. Latif, S. S. Dragomir, E. Momoniat
doaj   +3 more sources

Hadamard Inequalities for Wright-Convex Functions [PDF]

, 2003
In this paper, we establish serveral inequalities of Hadamard’s type for Wright-Convex ...
Yang, Gou-Sheng, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +7 more sources

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

, 2005
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +6 more sources