Results 51 to 60 of about 7,092,593 (125)

Ostrowski-Type Inequalities for Functions of Two Variables in Banach Spaces

Mathematics
In this paper, we offer Ostrowski-type inequalities that extend the findings that have been proven for functions of one variable with values in Banach spaces, conducted in a remarkable study by Dragomir, to functions of two variables containing values in
Muhammad Amer Latif, Ohud Bulayhan Almutairi   +1 more
doaj   +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

Some New Estimations of Ostrowski-Type Inequalities for Harmonic Fuzzy Number Convexity via Gamma, Beta and Hypergeometric Functions

Axioms
This paper demonstrates several of Ostrowski-type inequalities for fuzzy number functions and investigates their connections with other inequalities. Specifically, employing the Aumann integral and the Kulisch–Miranker order, as well as the inclusion ...
Azzh Saad Alshehry, Loredana Ciurdariu, Yaser Saber, Amal F. Soliman   +3 more
doaj   +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

Some well-known inequalities of Ostrowski like for Caputo derivatives

Applied Mathematics in Science and Engineering
This paper aims to provide new versions of some known inequalities by applying Caputo fractional derivatives. Ostrowski, Hermite-Hadamard and Ostrowski-Grüss-type inequalities are given. Generalized conditions of existing inequalities are analysed to get
Yonghong Liu, Ghulam Farid, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek   +4 more
doaj   +1 more source

Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities

Cumhuriyet Science Journal, 2017
In this paper, weobtain some new weighted Ostrowski-Grüss type inequalities on time scales. Wealso give some other interesting inequalities as special cases.2010 MathematicsSubject Classifications : 26D15; 26E70.
Adnan Tuna
doaj   +1 more source

On Ostrowski Type Inequalities for Generalized Integral Operators

Journal of Mathematics, 2022
It is well known that mathematical inequalities have played a very important role in solving both theoretical and practical problems. In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.
Martha Paola Cruz, Ricardo Abreu-Blaya, Paul Bosch, José M. Rodríguez, José M. Sigarreta   +4 more
doaj   +1 more source

Numerical Simulations of Newton‐Type Inequalities for Differentiable Modified p‐Convex Functions Involving Riemann–Liouville Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, Riemann–Liouville fractional integrals are employed to prove several new Newton‐type inequalities related to the modified class of p‐convex property of differentiable functions. Some more inequalities are also derived for functions of bounded variation.
Fadhel Almalki, Saima Riaz, Khuram Ali Khan, Ammara Nosheen, Michael Kikomba Kahungu, Shekhar Singh Negi   +5 more
wiley   +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

On the Theory of n‐Polynomial ϕ‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang, Mehtap Kübra Polat, Ferhat Polat, Çetin Yıldız, Lakhlifa Sadek   +4 more
wiley   +1 more source