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Almost Sure Sampling Reconstruction Of Non-Band-Limited Homogeneous Random Fields

Tibor Pogány — 1991

Publications de l'Institut Mathématique

On the spectral representation of the sampling cardinal series expansion of weakly stationary stochastic processes.

Tibor Pogány; Predrag Perunicic — 1992

Stochastica

The spectral representation of the sampling cardinal series expansion (SCSE) of non-band-limited weakly stationary scalar and vector stochastic processes and their correlation functions are derived. The upper bound of the mean-square aliasing error is given for vector processes.

Local growth of Weierstrass $σ$ -function and Whittaker-type derivative sampling.

Pogány, Tibor K. — 2003

Georgian Mathematical Journal

Derivative uniform sampling via Weierstrass $σ (z)$ . Truncation error analysis in $[2, \frac{π q}{2 s^{2}})$ .

Pogány, Tibor K. — 2001

Georgian Mathematical Journal

On an open problem of F. Qi.

Pogány, Tibor K. — 2002

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some inequalities concerning the existence of $(k, λ, l)$ -chordal polygons.

Radic, Mirko; Pogány, Tibor K. — 2003

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

New upper bounds for Mathieu-type series.

Tomovski, Živorad; Pogány, Tibor K. — 2009

Banach Journal of Mathematical Analysis [electronic only]

Integral Representations of Functional Series with Members Containing Jacobi Polynomials

Jankov, Dragana; Pogany, Tibor K. — 2012

Mathematica Balkanica New Series

MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10 In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi polynomials.

Integral and computational representation of summation which extends a Ramanujan's sum

Tibor K. Pogány; Arjun K. Rathie; Shoukat Ali — 2012

Matematički Vesnik

Two-sided bounds for the complete Butzer-Flocke-Hauss Omega function

Tibor K. Pogány; Živorad Tomovski; Delčo Leškovski — 2013