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SOME KOROVKIN TYPE APPROXIMATION THEOREMS FOR MULTIVARIATE BERNSTEIN TYPE RATIONAL OPERATORS VIA SUMMABILITY METHODS

Bulletin of Mathematical Analysis and Applications · Ocak 2025

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SOME KOROVKIN TYPE APPROXIMATION THEOREMS FOR MULTIVARIATE BERNSTEIN TYPE RATIONAL OPERATORS VIA SUMMABILITY METHODS
Bulletin of Mathematical Analysis and Applications · 2025 Scopus
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Makale Bilgileri

DergiBulletin of Mathematical Analysis and Applications
Yayın TarihiOcak 2025
Cilt / Sayfa17 · 17-31
Özet In this paper, we derive approximation theorems in the multivariate case for rational operators using power series convergence and A-statistical convergence. By selecting a special case of power series convergence and considering A-statistical convergence, we study approximation properties of a non-tensor product BBH type operator, which doesn’t converge in the classical sense. Finally, we demonstrate that our new approximation results are stronger than some previously established results.

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Anahtar Kelimeler

A-statistical convergence Korovkin-type theorems Power series convergence

Kurumlar

Selçuk Üniversitesi
Selçuklu Turkey

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