Results 11 to 20 of about 5,260,799 (222)
On some inequalities relative to the Pompeiu–Chebyshev functional
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
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]
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]
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
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
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]
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]
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
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]
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

