Results 61 to 70 of about 643,553 (189)

Application of (q, τ)‐Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani   +2 more
wiley   +1 more source

On Grüss type inequality for a hypergeometric fractional integral

open access: yesLe Matematiche, 2011
Aim of the present paper is to investigate a new integral inequality of Grüss type for a hypergeometric fractional integral. Two main results are proved, the first one deals with Grüss type inequality using the hypergeometric fractional integral.
Shyam L. Kalla, Alka Rao
doaj  

Generalization of the Levinson inequality with applications to information theory

open access: yesJournal of Inequalities and Applications, 2019
In the presented paper, Levinson’s inequality for the 3-convex function is generalized by using two Green functions. Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel   +3 more
doaj   +1 more source

Desigualdades para funciones D−sincrónicas y funciones relacionadas [PDF]

open access: yes, 2020
We introduce in this paper the concept of quadruple D−synchronous functions which generalizes the concept of a pair of synchronous functions, we establish an inequality similar to Chebyshev inequality and we also provide some Cauchy-Bunyakovsky-Schwarz ...
Dragomir, Silvestru Sever
core   +2 more sources

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo   +2 more
wiley   +1 more source

Applications of Ostrowski's Version of the Grüss Inequality for Trapezoid Type Rules

open access: yes, 2006
Some applications of the Ostrowski inequality and a perturbed version of it for integral inequalities of the trapezoid type are given.
N. S. Barnett, S. Dragomir
semanticscholar   +1 more source

Exploring experiences of living with removable dentures—A scoping review of qualitative literature

open access: yesGerodontology, Volume 41, Issue 3, Page 314-327, September 2024.
Objective Examine the literature on the experiences of living with removable dentures (complete or partial) to identify any gaps and provide a map for future research. Background Increasing proportions of society are living partially dentate with some form of restoration, including removable dentures.
T Broomhead   +6 more
wiley   +1 more source

Refinements of some Hardy–Littlewood–Pólya type inequalities via Green’s functions and Fink’s identity and related results

open access: yesJournal of Inequalities and Applications, 2020
In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
doaj   +1 more source

Some new fractional q-integral Grüss-type inequalities and other inequalities [PDF]

open access: yes, 2012
In this paper, we employ a fractional q-integral on the specific time scale, T t 0 =
Chaowu Zhu, Qingbo Zhao, Wengui Yang
core   +1 more source

Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
wiley   +1 more source

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