Results 1 to 10 of about 9,440 (153)

Generalized geometrically convex functions and inequalities [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions.
Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar   +2 more
doaj   +3 more sources

Generalized Alpha-Close-to-Convex Functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2009
We define the classes Gβ(α,k,γ) as follows: f∈Gβ(α,k,γ) if and only if, for z∈E={z∈ℂ:|z|
K. Inayat Noor, Halit Orhan, Saima Mustafa   +2 more
doaj   +3 more sources

Generalized Legendre Transforms Have Roots in Information Geometry [PDF]

Entropy
Artstein-Avidan and Milman [Annals of mathematics (2009), (169):661–674] characterized invertible reverse-ordering transforms in the space of lower, semi-continuous, extended, real-valued convex functions as affine deformations of the ordinary Legendre ...
Frank Nielsen
doaj   +2 more sources

Generalized Inequalities for Convex Functions

Journal of Mathematical Extension, 2016
We investigate the fundamental inequalities for convex functions on the bounded closed interval of real numbers. Using the theory of positive linear functionals, we obtain the functional forms of inequalities as generalizations of the well-known inequalities. Our consideration includes the Jensen, Jensen-Mercer, Fejér and Hermite- Hadamard inequality.
Zlatko Pavić
doaj   +3 more sources

INEQUALITIES VIA GENERALIZED h-CONVEX FUNCTIONS

Проблемы анализа, 2018
In the paper, we establish some new Hermite-Hadamard-Fej´er type inequalities via generalized h-convex functions, Toader-like convex functions and their variant forms. Several special cases are also discussed. Results proved in this paper can be viewed
M. A. Noor, K. I. Noor, F. Safdar
doaj   +2 more sources

A Note on Generalized Strongly p-Convex Functions of Higher Order

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022
Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them.
Corina Karim, Ekadion Maulana
doaj   +1 more source

Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively.
Revan I. Hazim, Saba N. Majeed
doaj   +1 more source

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

Axioms, 2023
Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
doaj   +1 more source

Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan, Asif R. Khan, Nazia Irshad, Sumbul Khatoon   +3 more
doaj   +1 more source

Cauchy type means for some generalized convex functions

Journal of Inequalities and Applications, 2021
In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense.
Naila Mehreen, Matloob Anwar
doaj   +1 more source