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## Approximation by sampling type discrete operators

#### İsmail ASLAN [1]

In this paper, we deal with discrete operators of sampling type. It is known that this type of operators are related to generalized sampling series and they have important applications. In this work, using bounded and uniformly continuous functions we get general estimations under usual supremum norm with the help of summability method. We also study the degree of approximation with respect to suitable Lipschitz class of continuous functions. Finally, we give specific kernels which verify our kernel assumptions.
Sampling type operators, rate of approximation, summability process
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Primary Language en Mathematics Research Article Orcid: 0000-0001-9753-6757Author: İsmail ASLAN (Primary Author)Institution: HACETTEPE ÜNİVERSİTESİCountry: Turkey Application Date : January 6, 2020 Acceptance Date : May 3, 2020 Publication Date : June 30, 2020
 Bibtex @research article { cfsuasmas671237, journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, issn = {1303-5991}, eissn = {2618-6470}, address = {Communications Dergi Editörlüğü Ankara Universitesi Fen Fakültesi 06100 Tandoğan ANKARA}, publisher = {Ankara University}, year = {2020}, volume = {69}, pages = {969 - 980}, doi = {10.31801/cfsuasmas.671237}, title = {Approximation by sampling type discrete operators}, key = {cite}, author = {Aslan, İsmail} } APA Aslan, İ . (2020). Approximation by sampling type discrete operators . Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics , 69 (1) , 969-980 . DOI: 10.31801/cfsuasmas.671237 MLA Aslan, İ . "Approximation by sampling type discrete operators" . Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (2020 ): 969-980 Chicago Aslan, İ . "Approximation by sampling type discrete operators". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (2020 ): 969-980 RIS TY - JOUR T1 - Approximation by sampling type discrete operators AU - İsmail Aslan Y1 - 2020 PY - 2020 N1 - doi: 10.31801/cfsuasmas.671237 DO - 10.31801/cfsuasmas.671237 T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JF - Journal JO - JOR SP - 969 EP - 980 VL - 69 IS - 1 SN - 1303-5991-2618-6470 M3 - doi: 10.31801/cfsuasmas.671237 UR - https://doi.org/10.31801/cfsuasmas.671237 Y2 - 2020 ER - EndNote %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Approximation by sampling type discrete operators %A İsmail Aslan %T Approximation by sampling type discrete operators %D 2020 %J Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics %P 1303-5991-2618-6470 %V 69 %N 1 %R doi: 10.31801/cfsuasmas.671237 %U 10.31801/cfsuasmas.671237 ISNAD Aslan, İsmail . "Approximation by sampling type discrete operators". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 / 1 (June 2020): 969-980 . https://doi.org/10.31801/cfsuasmas.671237 AMA Aslan İ . Approximation by sampling type discrete operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.. 2020; 69(1): 969-980. Vancouver Aslan İ . Approximation by sampling type discrete operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics. 2020; 69(1): 969-980. IEEE İ. Aslan , "Approximation by sampling type discrete operators", Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, pp. 969-980, Jun. 2020, doi:10.31801/cfsuasmas.671237

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