Results 1 to 10 of about 46,381 (145)
On generalized strongly modified h-convex functions [PDF]
Journal of Inequalities and Applications, 2020 We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class.
Taiyin Zhao +4 more
doaj +3 more sources
A note on h-convex functions [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 In this work, we discuss the continuity of $h$-convex functions by introducing the concepts of $h$-convex curves ($h$-cord). Geometric interpretation of $h$-convexity is given.
Mohammad W. Alomari
doaj +4 more sources
Popoviciu’s type inequalities for h-MN-convex functions [PDF]
E-Journal of Analysis and Applied Mathematics, 2021 n this work, Popoviciu type inequalities for h-MN-convex functions are proved. Some direct examples are pointed out.
Mohammad W. Alomari
doaj +1 more source
Some characterizations of h-convex functions
Journal of Mathematical Inequalities, 2022 Summary: In this paper, we give some characterizations of \(h\)-convex functions, and some applications related to these functions are also obtained. According to these results, we can know better the relation between convex functions and \(h\)-convex functions.
Jin, Xin +3 more
openaire +2 more sources
Advances in Difference Equations, 2021 Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid +4 more
doaj +1 more source
First order derivatives new h.hadamard type ınequalities for harmonically h convex functions
Cumhuriyet Science Journal, 2020 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 ...
Merve Kule, Mehmet Eyüp Kiriş
doaj +1 more source
Some Inequalities for Operator p,h-Convex Function
Journal of Mathematics, 2022 In this paper, we introduce operator p,h-convex functions and establish a Hermite–Hadamard inequality for these functions. As application, we obtain several trace and singular value inequalities of operators.
Zahra Omrani +2 more
doaj +1 more source
International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
doaj +1 more source
Properties of GA-h-Convex Functions in Connection to the Hermite–Hadamard–Fejér-Type Inequalities
Mathematics, 2023 In this study, the Hermite–Hadamard–Fejér inequalities for GA-h-convex are proved, and the results for particular classes of functions are highlighted. In addition, several generalizations of the Hermite–Hadamard inequalities are presented. Some features
Muhammad Amer Latif
doaj +1 more source
On strongly $h$-convex functions
Annals of Functional Analysis, 2011 We introduce the notion of strongly $h$-convex functions (defined on a normed space) and present some properties and representations of such functions. We obtain a characterization of inner product spaces involving the notion of strongly $h$-convex functions. Finally, a Hermite-Hadamard-type inequality for strongly $h$-convex functions
Angulo, Hiliana +3 more
openaire +4 more sources