Approximation properties of multivariate exponential sampling series
Keywords: multivariate exponential sampling series, rate of convergence, multivariate Mellin-Taylor formula, Voronovskaja theorem
Published online: 2021-12-07
In this paper, we generalize the family of exponential sampling series for functions of $n$ variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of $\log$-uniformly continuous functions. Furthermore, we state and prove the generalized Mellin-Taylor's expansion of multivariate functions. Using this expansion we establish pointwise asymptotic behaviour of the series by means of Voronovskaja type theorem.
How to Cite
Kurşun S., Turgay M., Alagöz O., Acar T. Approximation Properties of Multivariate Exponential Sampling Series. Carpathian Math. Publ. 2021, 13 (3), 666-675.