Almost Sure Sampling Reconstruction Of Non-Band-Limited Homogeneous Random Fields
On the spectral representation of the sampling cardinal series expansion of weakly stationary stochastic processes.
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 -function and Whittaker-type derivative sampling.
Derivative uniform sampling via Weierstrass . Truncation error analysis in .
On an open problem of F. Qi.
Some inequalities concerning the existence of -chordal polygons.
New upper bounds for Mathieu-type series.
Integral Representations of Functional Series with Members Containing Jacobi Polynomials
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
Two-sided bounds for the complete Butzer-Flocke-Hauss Omega function
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