Results 31 to 40 of about 120 (105)

Montgomery identity and Ostrowski-type inequalities via quantum calculus

Open Mathematics, 2021
In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin, Ali Muhammad Aamir, Budak Huseyin, Abbas Mujahid, Chasreechai Saowaluck   +4 more
doaj   +1 more source

On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions

Demonstratio Mathematica
For μ∈C1(I)\mu \in {C}^{1}\left(I), μ>0\mu \gt 0, and λ∈C(I)\lambda \in C\left(I), where II is an open interval of R{\mathbb{R}}, we consider the set of functions f∈C2(I)f\in {C}^{2}\left(I) satisfying the second-order differential inequality ddtμdfdt+λf≥
Dragomir Silvestru Sever, Jleli Mohamed, Samet Bessem   +2 more
doaj   +1 more source

On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions

Open Mathematics, 2021
The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint ...
Ali Muhammad Aamir, Alp Necmettin, Budak Hüseyin, Chu Yu-Ming, Zhang Zhiyue   +4 more
doaj   +1 more source

Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means

Annales Mathematicae Silesianae, 2023
In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
doaj   +1 more source

Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions

Open Mathematics, 2022
In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J., Kara Hasan, Budak Hüseyin, Ali Muhammad Aamir, Chasreechai Saowaluck   +4 more
doaj   +1 more source

Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
doaj   +1 more source

New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

Demonstratio Mathematica, 2023
The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq, Khan Muhammad Adil, Faisal Shah, Alsulami Hamed H., Alhodaly Mohammed Sh.   +4 more
doaj   +1 more source

On a generalization of the Opial inequality

Demonstratio Mathematica
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems.
Bosch Paul, Portilla Ana, Rodriguez Jose M., Sigarreta Jose M.   +3 more
doaj   +1 more source

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

Demonstratio Mathematica, 2023
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source