Approximation by generalized bivariate Kantorovich sampling type series

DOI10.1007/s41478-018-0085-6zbMath1437.94041OpenAlexW2951773098WikidataQ129778206 ScholiaQ129778206MaRDI QIDQ2419084

Sathish Kumar Angamuthu, Devaraj Ponnaian

Publication date: 29 May 2019

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-018-0085-6

zbMATH Keywords

rate of convergencemodulus of smoothnessVoronovskaja-type formulabivariate Kantorovich sampling operators

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20)

Related Items (6)

Convergence of semi-discrete exponential sampling operators in Mellin-Lebesgue spaces ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ Approximation properties of generalized \(\lambda\)-Bernstein-Kantorovich type operators ⋮ Direct and inverse results for Kantorovich type exponential sampling series ⋮ Boundedness properties of semi-discrete sampling operators in Mellin-Lebesgue spaces ⋮ On Approximation by Kantorovich Exponential Sampling Operators

Cites Work

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• Approximation of some Feller semigroups associated with a modification of Szász-Mirakjan-Kantorovich operators
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• Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing
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