Results 31 to 40 of about 22,208 (203)

Chebyshev model arithmetic for factorable functions [PDF]

open access: yesJournal of Global Optimization, 2016
This article presents an arithmetic for the computation of Chebyshev models for factorable functions and an analysis of their convergence properties. Similar to Taylor models, Chebyshev models consist of a pair of a multivariate polynomial approximating the factorable function and an interval remainder term bounding the actual gap with this polynomial ...
Rajyaguru, J   +3 more
openaire   +5 more sources

Chebyshev type inequalities for Hilbert space operators [PDF]

open access: yes, 2014
We establish several operator extensions of the Chebyshev inequality. The main version deals with the Hadamard product of Hilbert space operators.
Mohammad Sal   +2 more
core   +1 more source

Integral inequalities involving generalized Erdélyi-Kober fractional integral operators

open access: yesOpen Mathematics, 2016
Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and
Baleanu Dumitru   +2 more
doaj   +1 more source

Modeling Belt-Servomechanism by Chebyshev Functional Recurrent Neuro-Fuzzy Network

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2008
A novel Chebyshev functional recurrent neuro-fuzzy (CFRNF) network is developed from a combination of the Takagi-Sugeno-Kang (TSK) fuzzy model and the Chebyshev recurrent neural network (CRNN).
Yuan-Ruey HUANG   +3 more
doaj   +1 more source

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   +1 more source

Appell-Type Functions and Chebyshev Polynomials

open access: yesMathematics, 2019
In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used to separate the even part from the odd part of the Appell polynomials and of the Appell–Bessel ...
Pierpaolo Natalini, Paolo Emilio Ricci
openaire   +3 more sources

Certain new proportional and Hadamard proportional fractional integral inequalities

open access: yesJournal of Inequalities and Applications, 2021
The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman   +2 more
doaj   +1 more source

Complex-Valued Pipelined Chebyshev Functional Link Recurrent Neural Network for Joint Compensation of Wideband Transmitter Distortions and Impairments

open access: yesIEEE Access, 2020
In this article, a novel digital predistortion (DPD) model based on complex-valued pipelined Chebyshev functional link recurrent neural network (CPCFLRNN) for joint compensation of wideband transmitter distortions and impairments is proposed.
Mingyu Li   +5 more
doaj   +1 more source

Summation of the Universal Series on the Chebyshev Polynomials

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
The Universal functional series have been studied by many authors since 1906, the year when the Hungarian mathematician, Michael Fekete first considered the universal power series in the real domain. Trigonometric universal series were built by D.
L. K. Dodunova, A. A. Ageikin
doaj   +1 more source

Generalizations of Ostrowski type inequalities via Hermite polynomials

open access: yesJournal of Inequalities and Applications, 2020
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić   +2 more
doaj   +1 more source

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