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Positivity of sums and integrals for n-convex functions via the Fink identity

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Publication:5743000
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DOI10.3906/mat-1810-129zbMath1412.26018OpenAlexW2930579508WikidataQ128156697 ScholiaQ128156697MaRDI QIDQ5743000

Marjan Praljak, Asif R. Khan, Sanja Varošanec, Josip E. Pečarić

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1810-129


zbMATH Keywords

Green functionChebyshev functional\(n\)-convex functionsFink identity


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • On Jessen's inequality for convex functions. III
  • Convex functions, partial orderings, and statistical applications
  • Improvement and further generalization of inequalities of Ostrowski-Grüss type
  • Bounds on the deviation of a function from its averages
  • Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
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