Some divided difference inequalities for n-convex functions

DOI10.1016/0022-247X(85)90036-8zbMath0579.41011MaRDI QIDQ1067130

D. Zwick, Reinhard Farwig

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

B-splines

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (9)

Inequalities involving multivariate convex functions ⋮ Calculating the divided differences of the exponential function by addition and removal of inputs ⋮ Calculating elements of matrix functions using divided differences ⋮ On generalization of Levinson's inequality involving averages of 3-convex functions ⋮ EXPONENTIAL CONVEXITY FOR DIVIDED DIFFERENCES RELATED TO HERMITE–HADAMARD INEQUALITIES ⋮ Schur-convexity of averages of convex functions ⋮ On s-convex bounds for Beta-unimodal distributions with applications to basis risk assessment ⋮ On some refinements of Jensen's inequality ⋮ On Levinson's inequality involving averages of 3-convex functions

Cites Work

• Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type
• A divided difference inequality for n-convex functions
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• Another Proof that Convex Functions are Locally Lipschitz
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