Means for Divided Differences and Exponential Convexity

In this paper we obtain two means for divide differences using two majorization type results where one is related with Schur convexity. We examine their monotonicity property using exponentially convex functions.

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 9; no. 1; pp. 187 - 198
Main Authors Pavić, Zlatko, Pečarić, Josip, Vukelić, Ana
Format Journal Article
LanguageEnglish
Published Basel SP Birkhäuser Verlag Basel 01.02.2012
Subjects
Mathematics
Mathematics and Statistics
exponentially convex function
Divided differences
26D20
Schur means
Stolarsky means
convex function
26D99
log-convexity
majorization
Schur convex function
26D15
continuous extensions
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Summary:In this paper we obtain two means for divide differences using two majorization type results where one is related with Schur convexity. We examine their monotonicity property using exponentially convex functions.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-011-0122-z