Results 11 to 20 of about 1,058,862 (209)
Approximation by multivariate Kantorovich-Kotelnikov operators
Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered.
Kolomoitsev, Yu., Skopina, M.
core +2 more sources
Supershift properties for nonanalytic signals. [PDF]
Abstract The phenomenon of superoscillations is of great interest in microscopy, antenna design, and material sciences. This phenomenon has been generalized and has given rise to the concept of supershift, which is a far reaching extension that applies to functions that may present discontinuous derivatives. From this perspective, this is a notion that
Colombo F +3 more
europepmc +2 more sources
Some general Kantorovich type operators
A general class of linear and positive operators of Kantorovich-type is constructed. The operators of this type which preserve exactly two test functions from the set \(\{e_0, e_1, e_2\}\) are determined and their approximation properties and convergence
Petru I. Braica, Ovidiu T. Pop
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Classical Kantorovich Operators Revisited [PDF]
The main object of this paper is to improve some of the known estimates for classical Kantorovich operators. A quantitative Voronovskaya-type result in terms of second moduli of continuity which improves some previous results is obtained. In order to explain non-multiplicativity of the Kantorovich operators a Chebyshev-Gr ss inequality is given.
Acu, Ana Maria, Gonska, Heinz H.
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Generalized Baskakov Kantorovich operators [PDF]
In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally, we obtain the rate of convergence for functions having a derivative coinciding almost everywhere with ...
Agrawal, P. N., Goyal, Meenu
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Multivariate weighted kantorovich operators
Herein, the authors introduce a class of multidimensional weighted Kantorovich operators \(K_n\), \(n\geq 1\), whose definition is given on the space of continuous functions \(C(Q_{d})\) (where \(Q_d\) is the \(d\)-dimensional hypercube \([0,1]^{d}\), \(d\geq 1\)), and it involves the well-known Bernstein polynomials.
Acu, Ana-Maria, Hodis, Laura, Rasa, Ioan
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q-Bernstein-Schurer-Kantorovich Operators [PDF]
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Özarslan, Mehmet Ali, Vedi, Tuba
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Generalization of Szász operators: quantitative estimate and bounded variation
Difference of exponential type Szász and Szász-Kantorovich operators is obtained. Similar estimates are given for higher order $\mu$-derivatives of the Szász operators and the Szász-Kantorovich type operators acting on the same order $\mu$-derivative of ...
K. Bozkurt, M.L. Limmam, A. Aral
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The objective of this paper is to construct univariate and bivariate blending type α-Schurer–Kantorovich operators depending on two parameters α∈0,1 and ρ>0 to approximate a class of measurable functions on 0,1+q,q>0.
Mohammad Ayman-Mursaleen +5 more
semanticscholar +1 more source
Generalized Baskakov-Kantorovich operators
Bu tez, üç bölümden oluşmaktadır. Birinci bölüm, bazı temel tanımlar ve yaklaşım teoremlerini içermektedir. İkinci bölümde, Taylor polinomu yardımıyla genelleştirilmiş Baskakov-Kantorovich operatörlerinin kuvvetli yaklaşım özellikleri polinom ağırlıklı uzaylarda verilmektedir. Üçüncü bölüm, bu tezin orijinal sonuçlarını içermektedir.
Zhang, Chungou, Zhu, Zhihui
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