Results 31 to 40 of about 343,821 (333)

Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions

Journal of Mathematics, 2021
Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex ...
Xishan Yu, Muhammad Shoaib Saleem, Shumaila Waheed, Ilyas Khan   +3 more
doaj   +1 more source

On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals

Advances in Differential Equations, 2021
In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters.
H. Budak, F. Hezenci, H. Kara
semanticscholar   +1 more source

New Generalized Class of Convex Functions and Some Related Integral Inequalities

Symmetry, 2022
There is a strong correlation between convexity and symmetry concepts. In this study, we investigated the new generic class of functions called the (n,m)–generalized convex and studied its basic algebraic properties.
A. Kashuri, R. Agarwal, P. Mohammed, K. Nonlaopon, K. M. Abualnaja, Y. S. Hamed   +5 more
semanticscholar   +1 more source

New Generalization of Geodesic Convex Function

Axioms, 2023
As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established. The concepts of a geodesic φE-convex set and φE-epigraph are also given.
Ohud Bulayhan Almutairi, Wedad Saleh
openaire   +3 more sources

Quantum Integral Inequalities with Respect to Raina’s Function via Coordinated Generalized Ψ -Convex Functions with Applications

Journal of Function Spaces, 2021
In accordance with the quantum calculus, we introduced the two variable forms of Hermite-Hadamard- ( H H -) type inequality over finite ...
S. Rashid, S. Butt, Shazia Kanwal, Hijaz Ahmad, Miao-Kun Wang   +4 more
semanticscholar   +1 more source

Some New Simpson's-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators

Symmetry, 2021
From the past to the present, various works have been dedicated to Simpson’s inequality for differentiable convex functions. Simpson-type inequalities for twice-differentiable functions have been the subject of some research.
M. Ali, H. Kara, J. Tariboon, S. Asawasamrit, H. Budak, F. Hezenci   +5 more
semanticscholar   +1 more source

On strongly generalized convex functions of higher order

Mathematical Inequalities & Applications, 2019
In this paper, we have introduced the notion of strongly generalized convex functions of higher order. We derived new integral inequalities of Hermite-Hadamard and HermiteHadamard-Féjer type for the class of strongly generalized convex functions of ...
S. K. Mishra, N. Sharma
semanticscholar   +1 more source

Generalized Convex Functions and Their Applications [PDF]

, 2017
This study focuses on convex functions and their generalized. Thus, we start this study by giving the definition of convex functions and some of their properties and discussing a simple geometric property.
Adem Kılıçman, W. Saleh
semanticscholar   +1 more source

Some Inequalities Using Generalized Convex Functions in Quantum Analysis

Symmetry, 2019
In the present work, the Hermite–Hadamard inequality is established in the setting of quantum calculus for a generalized class of convex functions depending on three parameters: a number in ( 0 , 1 ] and two arbitrary real functions defined on [ 0 , 1 ] .
Miguel J. Vivas-Cortez, A. Kashuri, Rozana Liko, J. E. Hernández   +3 more
semanticscholar   +1 more source

New quantum integral inequalities for some new classes of generalized ψ-convex functions and their scope in physical systems

Open Physics, 2021
In the present study, two new classes of convex functions are established with the aid of Raina’s function, which is known as the ψ-s-convex and ψ-quasi-convex functions. As a result, some refinements of the Hermite–Hadamard ( ℋℋ {\mathcal{ {\mathcal H} {
S. Rashid, S. Parveen, Hijaz Ahmad, Y. Chu   +3 more
semanticscholar   +1 more source