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math.GM2026
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 classificat…
math.GM2026
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…