Open AccessSome Problems on Approximations of Functions (Signals) in Matrix Summability of Legendre Series
Author(s) -
Suresh Kumar Sahani,
Vishnu Narayan Mishra,
Narayan Prasad Pahari
Publication year - 2021
Publication title -
nepal journal of mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 2738-9928
pISSN - 2738-9812
DOI - 10.3126/njmathsci.v2i1.36566
Subject(s) - legendre polynomials , mathematics , series (stratigraphy) , monotonic function , matrix (chemical analysis) , function (biology) , legendre's equation , legendre function , associated legendre polynomials , pure mathematics , mathematical analysis , orthogonal polynomials , classical orthogonal polynomials , materials science , paleontology , gegenbauer polynomials , evolutionary biology , composite material , biology
In this paper, we prove a main theorem dealing the matrix summability of Legendre series using non-negative monotonic non-increasing sequences of function. This paper is more general than [9], [12] and [22].