Results 21 to 30 of about 163 (133)

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

Inequalities for Beta and Gamma Functions Via Some Classical and New Integral Inequalities [PDF]

, 1999
In this survey paper we present the natural application of certain integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's ...
Agarwal, R. P, S. S. Dragomir, R P Agarwal, Agarwal, R.P., Dragomir, S.S., N S Barnett, Dragomir, Sever S, Barnett, Neil S, Barnett, N.S., S S Dragomir, R. P. Agarwal, N. S. Barnett   +11 more
core  

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

ON NEW OSTROWSKI TYPE INEQUALITIES

Demonstratio Mathematica, 2008
AbstractIn this short note, some new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong ...
Liu, Wenjun, Dong, Jianwei
openaire   +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

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 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

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

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