Open AccessAbsolute │A; δ │k and │A; γ; δ│k Summability for n-tupled Triangle Matrices
Author(s) -
Smita Sonker,
Alka Munjal,
Lakshmi Narayan Mishra
Publication year - 2020
Publication title -
journal of nepal mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2616-0161
pISSN - 2616-0153
DOI - 10.3126/jnms.v3i2.33957
Subject(s) - sequence (biology) , mathematics , bounded function , set (abstract data type) , combinatorics , operator (biology) , discrete mathematics , mathematical analysis , computer science , chemistry , biochemistry , repressor , transcription factor , gene , programming language
In this study, new sequence spaces (Ak; δ) & (Ak; γ; δ) have been introduced to establish two theorems on minimal set of the sufficient conditions for a n-tupled triangle T to be a bounded operator on sequence spaces (Ank ; δ) & (Ank ; γ; δ): Generalized summability method │A; δ │k & │A; γ; δ│k have been applied for determining the sufficient conditions, where k ≥ 1; δ ≥ 0 and γ is real number. Further, a set of new and well-known applications has been deduced from the main result under suitable conditions, which shows the importance of the main result.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom