Results 51 to 60 of about 786 (135)

Newton‐Type Inequalities in the Context of Generalized Fractional Integrals via Several Function Classes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate some new Newton‐type inequalities involving generalized fractional integrals by using different function classes. For this aim, we first prove an identity for differentiable functions. Then, by this equality, we prove several Newton‐type inequalities for the function classes such as convex functions, bounded functions ...
İrem Çay, Hüseyin Budak, İrem Bağlan, Ercan Çelik, Smritijit Sen   +4 more
wiley   +1 more source

Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals

Journal of Inequalities and Applications, 2020
In this paper, we obtain the Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals. We also discuss some special cases.
Naila Mehreen, Matloob Anwar
doaj   +1 more source

Inequalities for Products of Two Kinds of Convexities and Consequent Results

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman, Hala H. Taha, Waqas Nazeer, Jongsuk Ro, Smritijit Sen   +4 more
wiley   +1 more source

New Inequalities and an Integral Expression for the 𝒜‐Berezin Number

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi, Ahad Alotaibi, Cristian Conde, Kais Feki, Ding-Xuan Zhou   +4 more
wiley   +1 more source

Fractional Integral Inequalities for Generalized Interval‐Valued Functions With Applications in Stock Price Prediction via LSTM

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah, Patricia J. Y. Wong, Nasir Rehman, Salah Mahmoud Boulaaras, Muhammad Shoaib Saleem, B. B Upadhyay   +5 more
wiley   +1 more source

Some Novel Inclusions for Interval‐Valued s‐Convex Functions in the Second Sense Involving Caputo–Fabrizio Integrals

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the class of interval‐valued s‐convex functions in the second sense sIVC2 using Caputo–Fabrizio CF integrals. Some generalizations of the Hermite–Hadamard HH‐type, Hermite–Hadamard–Fejér HHF‐type, and Hermite–Hadamard–Mercer HHM‐type inclusions involving the CF integrals are developed.
Ammara Nosheen, Khuram Ali Khan, Mariam Aslam, Atiq ur Rehman, Demco K. Mukongo, Smritijit Sen   +5 more
wiley   +1 more source

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Journal of Function Spaces, 2018
We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Muhammad Adil Khan, Yousaf Khurshid, Ting-Song Du, Yu-Ming Chu   +3 more
doaj   +1 more source

Trapezoid Inequality for Operator‐Valued Functions in Hilbert Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let K;·,· denote a complex Hilbert space, and let LK represent the Banach C∗‐algebra of bounded linear operators acting on K. For any operator A∈LK, the modulus is defined by A:=A∗A12/. The primary contribution of this work is the derivation of the following significant result: Assuming ζ:δ1,δ2⟶C is an integrable function and T:δ1,δ2⟶LK is a strongly ...
Salma Aljawi, Ahad Hamoud Alotaibi, Silvestru Sever Dragomir, Kais Feki, Smritijit Sen   +4 more
wiley   +1 more source

INTEGRAL INEQUALITIES OF HERMITE – HADAMARD TYPE FOR ((α, m), log)-CONVEX FUNCTIONS ON CO–ORDINATES

Проблемы анализа, 2015
The convexity of functions is a basic concept in mathematics and it has been generalized in various directions. Establishing integral inequalities of Hermite – Hadamard type for various convex functions is one of main topics in the theory of convex ...
Bo-Yan Xi, Feng Qi
doaj   +1 more source

More About Hermite-Hadamard Inequalities, Cauchy's Means, and Superquadracity

Journal of Inequalities and Applications, 2010
New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.
Farid G, Pečarić J, Abramovich S   +2 more
doaj