Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]
, 2002 A discrete inequality of Grüss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings, are ...
Dragomir, Sever S
core
Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals
Journal 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
Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
doaj +1 more source
Exploring experiences of living with removable dentures—A scoping review of qualitative literature
Gerodontology, 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
On Grüss type inequality for a hypergeometric fractional integral
Le 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
Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
Journal 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
A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals
Journal of Applied Mathematics, 2014 The aim of this paper is to establish q-extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann-Liouville fractional q-integral operators. The results given earlier
Aydin Secer +3 more
doaj +1 more source
Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application
Mathematics, 2022 Recently, there have been many proven results of the Ostrowski–Grüss-type inequality regarding the error bounds for the Chebyshev functional when the functions or their derivatives belong to Lp spaces.
Sanja Kovač, Ana Vukelić
doaj +1 more source
Some new fractional q-integral Grüss-type inequalities and other inequalities [PDF]
, 2012 In this paper, we employ a fractional q-integral on the specific time scale, T t 0 =
Chaowu Zhu, Qingbo Zhao, Wengui Yang
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Desigualdades para funciones D−sincrónicas y funciones relacionadas [PDF]
, 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