Relevant bibliographies by topics / Sampling Kantorovich

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Academic literature on the topic 'Sampling Kantorovich'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "Sampling Kantorovich"

1

Tabatabaie, Seyyed Mohammad, A. Sathish Kumar, and Mahmood Pourgholamhossein. "Generalized Kantorovich sampling type series on hypergroups." Novi Sad Journal of Mathematics 48, no. 1 (2018): 117–27. http://dx.doi.org/10.30755/nsjom.07047.

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2

Bajpeyi, Shivam, and A. Sathish Kumar. "On Approximation by Kantorovich Exponential Sampling Operators." Numerical Functional Analysis and Optimization 42, no. 9 (2021): 1096–113. http://dx.doi.org/10.1080/01630563.2021.1940200.

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3

Costarelli, Danilo, and Gianluca Vinti. "Order of approximation for sampling Kantorovich operators." Journal of Integral Equations and Applications 26, no. 3 (2014): 345–67. http://dx.doi.org/10.1216/jie-2014-26-3-345.

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4

Costarelli, Danilo, and Gianluca Vinti. "An Inverse Result of Approximation by Sampling Kantorovich Series." Proceedings of the Edinburgh Mathematical Society 62, no. 1 (2018): 265–80. http://dx.doi.org/10.1017/s0013091518000342.

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AbstractIn the present paper, an inverse result of approximation, i.e. a saturation theorem for the sampling Kantorovich operators, is derived in the case of uniform approximation for uniformly continuous and bounded functions on the whole real line. In particular, we prove that the best possible order of approximation that can be achieved by the above sampling series is the order one, otherwise the function being approximated turns out to be a constant. The above result is proved by exploiting a suitable representation formula which relates the sampling Kantorovich series with the well-known generalized sampling operators introduced by Butzer. At the end, some other applications of such representation formulas are presented, together with a discussion concerning the kernels of the above operators for which such an inverse result occurs.
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5

Costarelli, Danilo, Anna Maria Minotti, and Gianluca Vinti. "Approximation of discontinuous signals by sampling Kantorovich series." Journal of Mathematical Analysis and Applications 450, no. 2 (2017): 1083–103. http://dx.doi.org/10.1016/j.jmaa.2017.01.066.

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6

Angamuthu, Sathish Kumar, and Devaraj Ponnaian. "Approximation by generalized bivariate Kantorovich sampling type series." Journal of Analysis 27, no. 2 (2018): 429–49. http://dx.doi.org/10.1007/s41478-018-0085-6.

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7

Angeloni, Laura, Danilo Costarelli, Marco Seracini, Gianluca Vinti, and Luca Zampogni. "Variation diminishing-type properties for multivariate sampling Kantorovich operators." Bollettino dell'Unione Matematica Italiana 13, no. 4 (2020): 595–605. http://dx.doi.org/10.1007/s40574-020-00256-3.

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Abstract In this paper we establish a variation-diminishing type estimate for the multivariate Kantorovich sampling operators with respect to the concept of multidimensional variation introduced by Tonelli. A sharper estimate can be achieved when step functions with compact support (digital images) are considered. Several examples of kernels have been presented.
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8

Orlova, Olga, and Gert Tamberg. "On approximation properties of generalized Kantorovich-type sampling operators." Journal of Approximation Theory 201 (January 2016): 73–86. http://dx.doi.org/10.1016/j.jat.2015.10.001.

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9

Bartoccini, Benedetta, Danilo Costarelli, and Gianluca Vinti. "Extension of Saturation Theorems for the Sampling Kantorovich Operators." Complex Analysis and Operator Theory 13, no. 3 (2018): 1161–75. http://dx.doi.org/10.1007/s11785-018-0852-z.

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10

Bardaro, Carlo, and Ilaria Mantellini. "Asymptotic formulae for multivariate Kantorovich type generalized sampling series." Acta Mathematica Sinica, English Series 27, no. 7 (2011): 1247–58. http://dx.doi.org/10.1007/s10114-011-0227-0.

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