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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
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Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
Mathematics, 2019 Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators.
Gauhar Rahman +4 more
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Modeling Belt-Servomechanism by Chebyshev Functional Recurrent Neuro-Fuzzy Network
Journal 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
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IEEE 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
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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels [PDF]
HeliyonVolterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation ...
Khadijeh Sadri +4 more
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Functional Tucker Approximation Using Chebyshev Interpolation [PDF]
SIAM Journal on Scientific Computing, 2021 This work is concerned with approximating a trivariate function defined on a tensor-product domain via function evaluations. Combining tensorized Chebyshev interpolation with a Tucker decomposition of low multilinear rank yields function approximations that can be computed and stored very efficiently.
Sergey Dolgov +2 more
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Chebyshev-Steffensen Inequality Involving the Inner Product
Mathematics, 2022 In this paper, we prove the Chebyshev-Steffensen inequality involving the inner product on the real m-space. Some upper bounds for the weighted Chebyshev-Steffensen functional, as well as the Jensen-Steffensen functional involving the inner product under
Milica Klaričić Bakula +1 more
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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Approximation of Analytic Functions by Chebyshev Functions [PDF]
Abstract and Applied Analysis, 2011 We solve the inhomogeneous Chebyshev′s differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
Soon-Mo Jung, Themistocles M. Rassias
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𝑞-CHEBYSHEV POLYNOMIALS AND THEIR 𝑞-CLASSICAL CHARACTERS
Проблемы анализа, 2021 In this work, we give some properties of the 𝑞-Chebyshev polynomials through the Stieltjes function associated with their regular forms (linear functional). Some connection formulas are highlighted. The integral representation of those forms are given.
M. Mejri
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