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September 10, 2025FilomatOpen Access

Study of two dimensional α-modified Bernstein bi-variate operators

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Research investigates approximation results using Bernstein bi-variate operators, suggesting methods for uniform convergence.

The study demonstrates various approximation results for two dimensional continuous functions using Bernstein bi-variate operators.
Key findings include the evaluation of local approximation results in terms of Lipschitz maximal functions and estimates of some lemmas.
Assessment involved proving uniform convergence and exploring the order of approximation in specific function spaces.
The relevance of approximation results in B?gel-spaces highlights practical applications of mixed-modulus of continuity.

Rao et al. (2025) studied this question.

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