Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2
ON CERTAIN MULTIDIMENSIONAL NONLINEAR INTEGRALS
- Sayfa
- 1356–1367
- DOI
- —
Abstract
The aim of the paper is to obtain generalized convergence resultsfor nonlinear multidimensional integrals of the form:L(!; x) = nn1ZDK( jt xj ; !(t))dt:We will prove some theorems concerning pointwise convergence of the familyL(!; x) as ! 1 at a Öxed point x 2 D which represents any generalizedLebesgue point of the function ! 2 L1 (D) ; where D is an open boundedsubset of Rn: Moreover, we will consider the case D = R