Functions of bounded variation with respect to a Tchebycheff system

DOI10.1016/0021-9045(78)90083-7zbMath0401.26006OpenAlexW2077324198MaRDI QIDQ1255107

Richard A. Zalik

Publication date: 1978

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90083-7

zbMATH Keywords

Convex FunctionsBest ApproximationFunctions of Bounded VariationMonotonic FunctionsExtended Complete Tchebycheff Systems

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Functions of bounded variation, generalizations (26A45)

Cites Work

• Unnamed Item
• Unnamed Item
• Cebysev-Systeme und Lipschitzklassen
• A recurrence formula for generalized divided differences and some applications
• Generalized convexity cones
• Smoothness Properties of Generalized Convex Functions
• Another Proof that Convex Functions are Locally Lipschitz
• Functions of bounded convexity
• Functions of Bounded Second Variation and Stieltjes-Type Integrals
• Functions of Bounded k th Variation