LaTeX Template for GMU Conferences
Forfatter
Sadettin Kursun
Sidst opdateret
10 måneder siden
Licens
Creative Commons CC BY 4.0
Resumé
LaTeX Template for GMU Conferences
% Copyright© Maia Japhoshvili
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\begin{center}
\textsf{\textbf{\Large Different Forms of Exponential Sampling Kantorovich Series and Their Approximation Results}} \\[0.5cm]
\textbf{\underline{Sadettin Kursun}$^{1}$} \\[0.2cm]
$^{1}$\textit{address (Department of Mathematics, Selçuk University, Konya, Türkiye)} \\[0.05cm]
\textit{E-mail:} \textsf{sadettinkursun@yahoo.com} \\[0.15cm]
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\bigskip
In this presentation, we study different forms of exponential sampling Kantorovich-type series. We give approximation results of our operators in log-uniformly continuous function spaces and logarithmic weighted spaces of functions. Moreover, we present quantitative forms of Voronovskaja-type formula via Mellin-Taylor formula based on Mellin derivatives.
\subsection*{References}
\begin{enumerate}
\item[{[1]}] C. Bardaro, L. Faina, I. Mantellini, A generalization of the exponential sampling series and its approximation properties. \emph{Math. Slovaca} \textbf{67} (2017), no. 6, 1481-1489.
\vspace{-5pt}
\item[{[2]}] S. A. Kumar, S. Bajpeyi, Direct and inverse results for Kantorovich type exponential sampling series. \emph{Results Math.} \textbf{75} (2020), no. 3, Article Number:119
\vspace{-5pt}
\item[{[3]}] A. Aral, T. Acar, S. Kursun, Generalized Kantorovich forms of exponential sampling series. \emph{Anal. Math. Phys.} \textbf{12} (2022), no. 2, Article Number:50
\vspace{-5pt}
\item[{[4]}] S. Kursun, A. Aral, T. Acar, Approximation results for Hadamard-type exponential sampling Kantorovich series. \emph{ Mediterr. J. Math.} \textbf{20} (2023), no. 5, Article Number:263
\end{enumerate}
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