Degree of Approximation by the T.E1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \left( {T.\,E^{\,1} } \right) $$\end{document} Means of Conjugate Series of Fourier Series in the Hölder Metric

We extend the results of Singh and Mahajan (Int J Math Math Sci 2008:9, 2008) which in turn generalizes the result of Lal and Yadav (Bull Cal Math Soc 93:191–196, 2001). In this paper, we determine the degree of approximation of functions f~∈Hω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \widetilde{f\,} \in H_{\omega } , $$\end{document} a new Banach space using T.E1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \left( {T.\,E^{\,1} } \right) $$\end{document} summability means of conjugate series of Fourier series. Also, some corollaries have also been deduced from our main theorem and particular cases.