Results 31 to 40 of about 482,482 (138)

Variable‐Order Postquantum Fractional Integral Inequalities With Nonuniform Memory

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Variable memory effects are essential for accurately modeling nonlocal phenomena in applied mathematics, physics, and engineering. Motivated by this observation, we develop a new class of variable‐order postquantum fractional integral inequalities based on the Riemann–Liouville (RL)‐type (p, q)‐fractional integral operator with a q‐shifting structure ...
Ashraf Al-Quran, Ramsha Shafqat, Ateq Alsaadi, Abdelhamid Mohammed Djaouti, Tegegne Getachew Legass   +4 more
wiley   +1 more source

A study of new quantum Montgomery identities and general Ostrowski like inequalities

Ain Shams Engineering Journal
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan, Muhammad Zakria Javed, Huseyin Budak, Y.S. Hamed, Jong-Suk Ro   +4 more
doaj   +1 more source

Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen, Meher Ali, Demco K. Mukongo, Y. S. Hamed, Anibal Coronel   +4 more
wiley   +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

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

On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals

Advances in Difference Equations, 2021
In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters.
Hüseyin Budak, Fatih Hezenci, Hasan Kara   +2 more
doaj   +1 more source

Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
wiley   +1 more source

New Weighted Ostrowski Type Inequalities for Mappings Whose nth Derivatives Are of Bounded Variation

International Journal of Analysis and Applications, 2016
We establish a new generalization of weighted Ostrowski type inequality for mappings of bounded variation. Spacial cases of this inequality reduce some well known inequalities.
Huseyin Budak, Samet Erden, M. Zeki Sarikaya   +2 more
doaj   +2 more sources

On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)‐calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)‐derivatives and (p,q ...
Jen Chieh Lo, Lei Su
wiley   +1 more source

On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates

International Journal of Analysis and Applications, 2016
In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
doaj   +2 more sources