On a new approach in the space of measurable functions

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Constructive Mathematical Analysis
Volume:6 Issue:4
On a new approach in the space of measurable functions

On a new approach in the space of measurable functions

Authors : Ali Aral

Pages : 237-248

Doi:10.33205/cma.1381787

View : 153 | Download : 153

Publication Date : 2023-12-15

Article Type : Research Paper

Abstract :In this paper, we present a new modulus of continuity for locally integrable function spaces which is effected by the natural structure of the L_{p} space. After basic properties of it are expressed, we provide a quantitative type theorem for the rate of convergence of convolution type integral operators and iterates of them. Moreover, we state their global smoothness preservation property including the new modulus of continuity. Finally, the obtained results are performed to the Gauss-Weierstrass operators.
Keywords : Convolution type integral operators, measurable functions, weighted modulus of continuity

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