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1. Direct, Inverse, and Equivalence Theorems for Weighted Szász—Durrmeyer—Bézier Operators in Orlicz Spaces

Author

L.-X. Han and B.-N. Guo

Subjects
Mathematics::Functional Analysis, Pure mathematics, Modulus of smoothness, General Mathematics, 010102 general mathematics, Inverse, Bézier curve, 010103 numerical & computational mathematics, Function (mathematics), Space (mathematics), 01 natural sciences, 0101 mathematics, Equivalence (measure theory), Mathematics
Abstract

We introduce the Orlicz space corresponding to the Young function and, by virtue of the equivalence theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalence theorems for the Jacobi weighted Szasz—Durrmeyer—Bezier operators in the Orlicz spaces.

Published
2021

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