Functions of Bounded k th Variation

DOI10.1112/plms/s3-26.3.547zbMath0254.26017OpenAlexW2029508614MaRDI QIDQ5669023

A. M. Russell

Publication date: 1973

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-26.3.547

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Functions of bounded variation, generalizations (26A45)

Related Items (15)

Functions of bounded kth variation and absolutely kth continuous functions ⋮ Riemann derivatives and general integrals ⋮ A generalization of a theorem by F. Riesz ⋮ Some applications of the condensation of the singularities of families of nonnegative functions ⋮ Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu ⋮ Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded \(n\)-th variation ⋮ On functions of bounded \((p, k)\)-variation ⋮ Integration by parts for some general integrals ⋮ Generalised Hölderian functions ⋮ A Banach space of functions of generalized variation ⋮ Functions of bounded k^th variation and Stieltjes type integrals ⋮ Further results on an integral representation of functions of generalised variation ⋮ Functions of bounded variation with respect to a Tchebycheff system ⋮ Dirichlet approximation of equilibrium distributions in Cannings models with mutation ⋮ An integral representation for a generalised variation of a function

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