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![Graph of the kernel B3$$ {\mathcal{B}}_3 $$. [Colour figure can be viewed at wileyonlinelibrary.com]](publication/381712122/figure/fig4/AS:11431281296240676@1733892541689/Graph-of-the-kernel-B3-mathcalB-3-Colour-figure-can-be-viewed-at.png)
Graph of the kernel B3$$ {\mathcal{B}}_3 $$. [Colour figure can be viewed at wileyonlinelibrary.com]
Source publication
In the present paper, we analyze the behavior of the exponential‐type generalized sampling Kantorovich operators Kωφ,G$$ {K}_{\omega}^{\varphi, \mathcal{G}} $$ when discontinuous signals are considered. We present a proposition for the series Kωφ,G$$ {K}_{\omega}^{\varphi, \mathcal{G}} $$, and we prove using this proposition certain approximation t...
Citations
... For other publications on the exponential sampling series and its different forms (see, [12][13][14][15][40][41][42]). Moreover, for the approximation properties of generalized exponential sampling series and its different forms in logarithmic weighted spaces of continuous functions (see also [5][6][7]). ...
In this paper, we introduce Mellin-Steklov exponential samplingoperators of order , by considering appropriate Mellin-Steklov integrals. We investigate the approximation properties of these operators in continuousbounded spaces and spaces on By using the suitablemodulus of smoothness, it is given high order of approximation. Further, we present a quantitative Voronovskaja type theorem and we study the convergence results of newly constructed operators in logarithmic weighted spaces offunctions. Finally, the paper provides some examples of kernels that support the our results.
