TY - JOUR
AU - Nigam, Hare Krishna
PY - 2019/12/30
Y2 - 2020/09/23
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 -
DO - 10.5556/j.tkjm.50.2019.3006
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3006
SP - 417-427
AB - <p>In this paper, we, for the very first time, study the error estimates of conjugate of a function ~g of g<br />(2-periodic) in generalized Zygmund class Y w<br />z (z 1); by Matix-Euler (TEq) product operator<br />of conjugate Fourier series. In fact, we establish two theorems on degree of approximation of a<br />function ~g of g (2-periodic) in generalized Zygmund class Y w<br />z (z 1); by Matix-Euler (TEq)<br />product means of its conjugate Fourier series. Our main theorem generalizes three previously<br />known results. Thus the results of [7], [8] and [26] become the particular cases of our Theorem<br />2.1. Some corollaries are also deduced from our main theorem.</p>
ER -