Summation process of monotone and sublinear operators in B−statistical sense

Authors

DOI:

https://doi.org/10.24193/subbmath.2026.1.09

Keywords:

B−statistical convergence, monotone operator, sublinear operator, Korovkin-type theorems

Abstract

By employing the A−summation process in the B−statistical sense, where A and B are sequences of infinite matrices, we provide new results on the classical Korovkin theorem for a sequence of monotone and sublinear operators. Reported results essentially extend some theorems existing in the literature.

Mathematics Subject Classification (2010): 40C05, 41A25, 41A36.

Received 08 September 2025; Accepted 08 January 2026.

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Published

2026-03-06

How to Cite

GÜLFIRAT, M., & ŞAHIN BAYRAM, N. (2026). Summation process of monotone and sublinear operators in B−statistical sense. Studia Universitatis Babeș-Bolyai Mathematica, 71(1), 135–144. https://doi.org/10.24193/subbmath.2026.1.09

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