4 citations · 10 across the 11 of their papers we have counts for
11 papers
The zeros of certain Fourier transforms:Improvements of Pólya's results
Yong-Kum Cho, Young Woong Park
As for the Fourier transforms of positive and integrable functions supported in the unit interval, we make a list of improvements for Pólya's results on the distribution of their p…
An extension of positivity for integrals of Bessel functions and Buhmann's radial basis functions
Yong-Kum Cho, Seok-Young Chung, Hera Yun
As to the Bessel integrals of type \begin{equation*} \int_0^x \left(x^μ-t^μ\right)^λt^αJ_β(t)dt\qquad(x>0), \end{equation*} we improve known positivity results by making use of new…
Rational extension of Newton diagram for the positivity of hypergeometric functions and Askey-Szegö problem
Yong-Kum Cho, Seok-Young Chung, Hera Yun
We present a rational extension of Newton diagram for the positivity of generalized hypergeometric functions. As an application, we give upper and lower bounds for the tr…
Newton diagram of positivity for generalized hypergeometric functions
Yong-Kum Cho, Hera Yun
As for the positivity of generalized hypergeometric functions, we present a list of necessary and sufficient conditions in terms of parameters and determine the region of…
Compactly supported reproducing kernels for -based Sobolev spaces and Hankel-Schoenberg transforms
Yong-Kum Cho
We exhibit three classes of compactly supported functions which provide reproducing kernels for the Sobolev spaces of arbitrary order Our method of constru…
Schoenberg Representations and Gramian Matrices of Matérn Functions
Yong-Kum Cho, Dohie Kim, Kyungwon Park +1
We represent Matérn functions in terms of Schoenberg's integrals which ensure the positive definiteness and prove the systems of translates of Matérn functions form Riesz sequences…