Results 11 to 20 of about 5,260,799 (222)

On some inequalities relative to the Pompeiu–Chebyshev functional

open access: yesJournal of Inequalities and Applications, 2020
In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals ...
Daniel Ianoşi, Adonia-Augustina Opriş
doaj   +2 more sources

New Upper Bounds for the Weighted Chebyshev Functional

open access: yesAnnales Mathematicae Silesianae
New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.
Bakula Milica Klaričić   +1 more
doaj   +2 more sources

On the Chebyshev functional [PDF]

open access: yesMathematical Inequalities & Applications, 2007
In this paper we prove an inequality for certain orthoprojectors. For orthoprojectors of rank one we obtain a Chebyshev type inequality. Gruss-Lupas type inequalities are also discussed. Mathematics subject classification (2000): 26D15, 26D20, 15A39, 06F20.
M. Niezgoda
openaire   +2 more sources

Inequalities for Chebyshev Functional in Banach Algebras [PDF]

open access: yesCubo (Temuco), 2017
Summary: By utilizing some identities for double sums, some new inequalities for the Chebyshev functional in Banach algebras are given. Some examples for the exponential and resolvent functions on Banach algebras are also provided.
Dragomir, Sever S   +2 more
openaire   +4 more sources

Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional

open access: yesJournal of Numerical Analysis and Approximation Theory, 2013
In this paper, we discuss the Schur convexity, Schur geometrical convexity and Schur harmonic convexity of the weighted arithmetic integral mean and Chebyshev functional.
Long Bo-Yong   +2 more
doaj   +4 more sources

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

open access: yesAdvances in Difference Equations, 2020
In the present work, a numerical technique for solving a general form of nonlinear fractional order integro-differential equations (GNFIDEs) with linear functional arguments using Chebyshev series is presented.
Khalid K. Ali   +5 more
doaj   +2 more sources

On Pompeiu–Chebyshev Functional and Its Generalization [PDF]

open access: yesResults in Mathematics, 2017
In this work, a generalization of Chebyshev functional is presented. New inequalities of Grüss type via Pompeiu’s mean value theorem are established. Improvements of some old inequalities are proved. A generalization of pre-Grüss inequality is elaborated.
M. Alomari
semanticscholar   +2 more sources

On Nesterov’s nonsmooth Chebyshev–Rosenbrock functions [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gürbüzbalaban, Mert   +1 more
openaire   +1 more source

Dynamic multi‐objective optimisation of complex networks based on evolutionary computation

open access: yesIET Networks, EarlyView., 2022
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley   +1 more source

GENERATING FUNCTIONS OF CHEBYSHEV-LIKE POLYNOMIALS [PDF]

open access: yesInternational Journal of Number Theory, 2010
In this short note, we give simple proofs of several results and conjectures formulated by Stolarsky and Tran concerning generating functions of some families of Chebyshev-like polynomials.
Bostan, Alin, Salvy, Bruno, Tran, Khang
openaire   +3 more sources

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