TY - JOUR
AU - Hare Krishna Nigam
PY - 2019/12/30
Y2 - 2020/02/18
TI - Best approximation of conjugate of a function in generalized Zygmund
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 50
IS - 4
SE - Papers
DO - 10.5556/j.tkjm.50.2019.3006
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3006
AB - In this paper, we, for the very first time, study the error estimates of conjugate of a function ~g of g(2-periodic) in generalized Zygmund class Y wz (z 1); by Matix-Euler (TEq) product operatorof conjugate Fourier series. In fact, we establish two theorems on degree of approximation of afunction ~g of g (2-periodic) in generalized Zygmund class Y wz (z 1); by Matix-Euler (TEq)product means of its conjugate Fourier series. Our main theorem generalizes three previouslyknown results. Thus the results of [7], [8] and [26] become the particular cases of our Theorem2.1. Some corollaries are also deduced from our main theorem.
ER -