Jessen’s inequality for sequences. (English) Zbl 0673.26008
Mathematics and its applications, Proc. 2nd Symp., Timişoara/Rom. 1987, 55-58 (1988).
[For the entire collection see Zbl 0658.00004.]
Let the functional A: \(S\to R\), where S is the vector space of all sequences, be superadditive, positively homogeneous and upper semicontinuous. In this paper necessary and sufficient conditions that the inequality \(A(x)\geq 0\) is valid for every n-convex sequence are obtained.
Let the functional A: \(S\to R\), where S is the vector space of all sequences, be superadditive, positively homogeneous and upper semicontinuous. In this paper necessary and sufficient conditions that the inequality \(A(x)\geq 0\) is valid for every n-convex sequence are obtained.
Reviewer: J.E.Pečarić
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 26A51 | Convexity of real functions in one variable, generalizations |
