Fuzzy soft tri-ideals over Gamma-semirings

ABSTRACT. In this paper, we introduce the notion of a fuzzy soft tri-ideal over \( \Gamma \)-semiring. We characterize the regular \( \Gamma \)-semiring in terms of fuzzy soft tri-ideals, and study some of the properties. \( M \) is a regular \( \Gamma \)-semiring, \(...

New definition of a singular integral operator

ABSTRACT. Let \( D \) be a connected bounded domain in \( \mathbb{R}^{2} \), \( S \) be its boundary which is closed, connected and smooth or \( S = (-\infty,\infty) \). Let \[ \Phi(z) = \frac{1}{2\pi i}\int_{S} \frac{f(s)\, ds}{s – z}, \qquad f \in L^{1}(S), \;...

Trigonometric generated Lp degree of approximation

Abstract In this article we continue the study of smooth Picard singular integral operators that started in [3], see there chapters 10-14. This time the foundation of our research is a trigonometric Taylor’s formula. We establish the Lp convergence of our operators to...