Results 41 to 50 of about 299 (185)

On Dynamic Inequalities of Grüss, Ostrowski and Trapezoidal Type via Nabla‐α Conformable Integrals on Time Scales

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan, Iram Shahzadi, Ammara Nosheen, M. K. Kahungu, Y. S. Hamed, Deepali   +5 more
wiley   +1 more source

An Ostrowski type inequality for double integrals in terms of \(L_p\)-norms and applications in numerical integration

Journal of Numerical Analysis and Approximation Theory, 2003
An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.
S.S. Dragomir, N.S. Barnett, P. Cerone
doaj   +2 more sources

Ariel - Volume () Number 1 [PDF]

, 1986
Copyright 1986 ...
Benshoff, H. M., Berna, Ron, Cahn, Dave, Colcher, Amy, Hathaway, C., Lizerbram, Franny, Norte, Palmar, Phibes, Anton, Sinha, Raj, Szeremeta, Wasyl, Watson, Bruce, Wonnell, Diane   +11 more
core   +1 more source

Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed, Khuram Ali Khan, Ammara Nosheen, Ndolane Sene, Gopi Prasad   +4 more
wiley   +1 more source

Ostrowski type fractional integral operators for generalized (;,,)−preinvex functions [PDF]

, 2017
In the present paper, the notion of generalized (;,,)−preinvex function is applied to establish some new generalizations of Ostrowski type inequalities via fractional integral operators.
Kashuri, A., Liko, R.
core   +1 more source

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol, Pengyu Chen   +3 more
wiley   +1 more source

Properties and Applications of Symmetric Quantum Calculus

Fractal and Fractional
Symmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez, Muhammad Zakria Javed, Muhammad Uzair Awan, Silvestru Sever Dragomir, Ahmed M. Zidan   +4 more
doaj   +1 more source

Ostrowski Via a Two Functions Pompeiu's Inequality

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type results.
Dragomir Silvestru Sever
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

Inequalities for Beta and Gamma functions via some classical and new integral inequalities

Journal of Inequalities and Applications, 2000
In this survey paper we present the natural applications of certain integral inequalities such as Chebychev's inequality for synchronous and asynchronous mappings, Hölder's inequality and Grüss' and Ostrowski's inequalities for the celebrated ...
Agarwal RP, Dragomir SS, Barnett NS
doaj