Under certain conditions on continuous functions μ, λ, a, and f, we prove the inequality
and describe its application to the investigation of the problem of finding conditions under which Laplace integrals belong to a class of convergence.
G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities [Russian translation], Inostrannaya Literatura, Moscow (1948).
O. M. Mulyava, “On convergence classes of Dirichlet series,” Ukr. Mat. Zh., 51, No. 11, 1485–1494 (1999).
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 9, pp. 1271–1275, September, 2006.
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Mulyava, O.M. Integral analog of one generalization of the Hardy inequality and its applications. Ukr Math J 58, 1441–1447 (2006). https://doi.org/10.1007/s11253-006-0143-0
- Continuous Function
- Convex Function
- Russian Translation
- Maximum Point
- Mathematical Journal