01419nab a2200229 i 4500 acta73899 20260218144811.0 211115s2020 hu o 000 eng d 2064-8316 10.14232/actasm-019-750-7 doi SZTE Egyetemi Kiadványok Repozitórium hun eng Manna Atanu New Hardy-type integral inequalities [elektronikus dokumentum] / Manna Atanu Bolyai Institute, University of Szeged Szeged 2020 467-491 Acta scientiarum mathematicarum 86 No. 3-4 The proofs of generalized Hardy, Copson, Bennett, Leindler-type, and Levinson integral inequalities are revisited. It is contemplated to establish new proof of these classical inequalities using probability density function. New integral inequalities of Hardy-type involving the r th order Generalized Riemann–Liouville, Generalized Weyl, Erdélyi-Kober, (k, ν)-Riemann–Liouville, and (k, ν)-Weyl fractional integrals are established through a probabilistic approach. The Kullback–Leibler inequality has been applied to compute the best possible constant factor associated with each of these inequalities. Természettudományok Matematika Matematika, Integrálegyenlőtlenség http://acta.bibl.u-szeged.hu/73899/1/math_086_numb_003-004_467-491.pdf Dokumentum-elérés