4 papers
Asymptotic areas between powers of sine and cosine curves
Atiratch Laoharenoo, Chanatip Sujsuntinukul
Motivated by Dombrowski and Dresden's work in 2025, we find the exact values of the limits \[\lim_{k\to\infty}\int_0^{ÏÏ}|\sin^n(kx)-\sin^nx|dx\quad\text{and}\quad \lim_{k\to\inf…
Exponential bounds for the spherical Blaschke-Lebesgue problem
Abigail Hall, Andriy Prymak, Chanatip Sujsuntinukul
The Blaschke-Lebesgue theorem states that the Reuleaux triangle has the smallest area among planar convex bodies of a fixed constant width. We study how small bodies of constant wi…
Convergence criteria for Frullani-type integrals involving differences of cosines
Atiratch Laoharenoo, Chanatip Sujsuntinukul
For and , we investigate the family of improper integrals \[\int_0^\infty\frac{(\cosαx-\cosβx)^p}{x^q}dx.\] We establish a complete classif…
Variants of the Damascus inequality
Chanatip Sujsuntinukul, Christophe Chesneau
In 2016, Dannan and Sitnik established the notable Damascus inequality, which features a symmetric structure under a multiplicative constraint. In this study, we consider the natur…