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- Title
On a new approach in the space of measurable functions.
- Authors
ARAL, ALI
- 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 Lp 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.
- Subjects
HEISENBERG model; LATTICE models (Statistical physics); RIESZ spaces; FOURIER transforms; WEYL groups
- Publication
Constructive Mathematical Analysis, 2023, Vol 6, Issue 2, p237
- ISSN
2651-2939
- Publication type
Article
- DOI
10.33205/cma.1381787