ON GENERALIZED WEIGHTED NORLUND-CESARO STATISTICAL CONVERGENCE

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Published: 2017-05-05

Page: 40-48


RIPENDRA KUMAR

Department of Mathematics, IFTM University, Moradabad, U.P., 244001, India.

B. K. SINGH

Department of Mathematics, IFTM University, Moradabad, U.P., 244001, India.

ADITYA KUMAR RAGHUVANSHI *

Department of Mathematics, IFTM University, Moradabad, U.P., 244001, India.

*Author to whom correspondence should be addressed.


Abstract

In this paper, the notation of (N, pn, qn)(C,α,β )- summability is introduced to generalize the concept of Nörlund-Cesáro statistical convergence. This new method is called generalized weighted Nörlund-Cesáro statistical convergence. We have shown some properties of this method.

Keywords: Statistical convergence, generalized weighted Nörlund-Cesáro statistical convergence, sequence spaces, Nörlund summability mean, Cesáro summability mean


How to Cite

KUMAR, R., SINGH, B. K., & RAGHUVANSHI, A. K. (2017). ON GENERALIZED WEIGHTED NORLUND-CESARO STATISTICAL CONVERGENCE. Asian Journal of Mathematics and Computer Research, 18(1), 40–48. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/1008