If 4-convex vectors are closed in uniform norms then their second derivatives are also closed in weighted L2 -norm

DOI10.3906/mat-1606-51zbMath1424.26060OpenAlexW2893117681MaRDI QIDQ5742788

Mobeen Munir, Muhammad Shoaib Saleem, Hamood Ur Rehman, Muhammad Wahab Khan, 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-1606-51

zbMATH Keywords

smooth concave vectorssmooth convex vectorsvector convolution

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• The weighted reverse Poincaré-type estimates for the difference of two convex vectors
• The weighted square integral inequalities for the first derivative of the function of a real variable
• Convex functions, partial orderings, and statistical applications
• Estimate for the discrete time hedging error of the American option on a dividend-paying stock
• Weighted integral inequality for the second derivative of 4-convex functions
• Convex functions and their applications. A contemporary approach

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