ABSOLUTE INDEX NÖRLUND SUMMABILITY OF IMPROPER INTEGRALS

ABSOLUTE INDEX NÖRLUND SUMMABILITY OF IMPROPER INTEGRALS

M. Parto, S. K. Paikray, B. B. Jena

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Abstract

Ozgen (Int. J. Anal. Appl., 11 (2016), 19-22) introduced jC; 1jk (k  1) integrability of improper integrals. In this paper, we have introduced the notion of jN; pn; jk-summability of improper integrals and established a new result which generalizes some existing results under suitable conditions.

Keywords

Cesaro summability, Norlund summability, improper integral, innite series