@article { author = {Krasniqi, Xhevat Z.}, title = {On the Degree of Approximation of Functions Belonging to the Lipschitz Class by (E, q)(C, α, β) Means}, journal = {Khayyam Journal of Mathematics}, volume = {1}, number = {2}, pages = {243-252}, year = {2015}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2015.13168}, abstract = {In this paper two generalized theorems on the degree of approximation of conjugate functions belonging to the Lipschitz classes of the type $\text{Lip}\alpha $, $0<\alpha \leq 1$, and $W(L_{p},\xi (t))$ are proved. The first one gives the degree of approximation with respect to the $L_{\infty}$-norm, and the second one with respect to $L_{p}$-norm, $p\geq 1$. In addition, a correct condition in proving of the second mentioned theorem is employed.}, keywords = {Lipschitz classes,Fourier series,summability,degree of approximation}, url = {https://www.kjm-math.org/article_13168.html}, eprint = {https://www.kjm-math.org/article_13168_e62c9334109527d4f323a4bd46193542.pdf} }