Results 51 to 60 of about 482,482 (138)

Generalized Riemann-Liouville $k$ -Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities

IEEE Access, 2018
Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis.
Young Chel Kwun, Ghulam Farid, Waqas Nazeer, Saleem Ullah, Shin Min Kang   +4 more
doaj   +1 more source

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan, Ramy M. Hafez, Kashif Ali, Ndolane Sene, Çetin Yildiz   +4 more
wiley   +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

Novel Fractional Simpson–Mercer‐Type Inequalities and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we establish a Mercer‐type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer‐type inequalities for functions whose third derivatives satisfy convexity‐type assumptions in absolute value. Related estimates are also obtained under boundedness and Lipschitz continuity
Arslan Munir, Hüseyin Budak, Artion Kashuri, Mohammed Rabih, Fatih Hezenci, Muhammad Muawwaz, Smritijit Sen   +6 more
wiley   +1 more source

On the Generalized Ostrowski Type Integral Inequality for Double Integrals

International Journal of Analysis and Applications, 2017
In this paper, we establish a new generalized Ostrowski type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.
Mustafa Kemal Yildiz, Mehmet Zeki Sarikaya   +1 more
doaj   +2 more sources

New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz, Arslan Munir, Ather Qayyum, Mohammed Rabih, Sara Ghareeb, Smritijit Sen   +5 more
wiley   +1 more source

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Open Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

Arab Journal of Mathematical Sciences, 2015
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
doaj   +1 more source

A Unified Sharp Integral Inequality With Applications to Trapezoid, Mid‐Point, and Simpson‐Type Inequalities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar, Mohsen Kian, Smritijit Sen   +2 more
wiley   +1 more source

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous, Waqas Nazeer, Waqar Afzal, Joshua Kiddy K. Asamoah, Hadeel AlQadi, Pramita Mishra   +5 more
wiley   +1 more source