Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements

Abstract

The principal aim of this paper is to establish the optimality (i.e., sharpness) of the constants A(m, α) and B(m, α), m ∈ N, α ∈ R, of the form

Dynamic Hardy–Copson-Type Inequalities via (γ,a)-Nabla-Conformable Derivatives on Time Scales

“…Hardy-type inequalities have many applications and are subject to strong research: see the books [6,40,41,63] and the recent publications [25,34,61]. In this manuscript, by employing the αconformable fractional calculus on time scales of Benkhettou et al [9], several new Hardy-type inequalities were proved.…”