If 4-convex vectors are closed in uniform norms then their second derivatives are also closed in weighted L2 -norm
From MaRDI portal
Publication:5742788
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
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
This page was built for publication: If 4-convex vectors are closed in uniform norms then their second derivatives are also closed in weighted L2 -norm