Positive Integrals of Bessel Functions

A new class of radial basis functions with compact support

“…We remark that Misiewicz and Richards claim only nonnegativity of the integral (2.4), but a close inspection of the inequalities in (Gasper, 1975, pp. 868f.)…”

On some properties of Buhmann functions

“…1, Corollary 1. 26). If f ∈ L(R m ) and F m (f )(x) = 0 for all x ∈ R m , then, by virtue of the Wiener theorem, the linear combinations of shifts of the function f are dense in L(R m ).…”

“…Assertions 1 and 2 of Theorem 4(I) for ν + 1 2 > 0, δ = 1, and δ = 2, were proved by Gasper in [26]. For ν = 1 and α = δ, assertion 3 was proved by Kuttner [30].…”

Rational Extension of the Newton Diagram for the Positivity of $${}_1F_2$$ Hypergeometric Functions and Askey–Szegö Problem

“…While Askey and Szegö studied problem (1.1) primarily as a limiting case for the positivity of certain sums of Jacobi polynomials, there are many other applications and generalizations (see e.g. [10,12,13,19]). As an exemplary generalization, we shall consider the integrals of type…”