Titlebook: General Inequalities 4; In memoriam Edwin F. Wolfgang Walter Book 1984 Springer Basel AG 1984 applied mathematics.inequality.numerical anal

Moderate

Approximation of Functions by Whittaker’s Cardinal Seriesth nodes kπ/σ. It is shown that for continuous functions having an absolute integrable Fourier transform or satisfying certain smoothness conditions this representation holds in the limit for σ → ∞. Similarly, the derivatives of a function as well as its Hubert transform can be approximated by the d

合适

Sequential Search for Zeroes of Derivativesing points to be the abscissae for sequences of k-th divided differences whose signs are used to locate the zeroes. In this paper, various rules for selecting these points are discussed, and several new results concerning error estimates of some of these rules are given.

Foolproof

名字

Inequalities for Comparison of Means and only if.is satisfied for any nonnegative integers k, m with k+m > 0 and x, y in I. The most important special cases of this result, the problems of the comparison and complementary comparison, are discussed in detail in this paper.

过滤

https://doi.org/10.1007/978-3-319-44856-5ty enables us to complete the original result of Gol’ dberg, showing that a certain condition of convexity is necessary as well as sufficient, and it leads to generalizations that have not been noted hitherto.

山间窄路

Extreme Values of Certain Integralsty enables us to complete the original result of Gol’ dberg, showing that a certain condition of convexity is necessary as well as sufficient, and it leads to generalizations that have not been noted hitherto.

Inordinate

使长胖

Some Examples of Hardy-Littlewood Type Integral Inequalitiesght function, on an interval [a,b). Three examples of this general inequality are considered in this paper; these examples illustrate many of the general properties of this extended Hardy-Littlewood inequality.

BOLT

Approximation of Functions by Whittaker’s Cardinal Serieshis representation holds in the limit for σ → ∞. Similarly, the derivatives of a function as well as its Hubert transform can be approximated by the derivatives and the Hubert transform of the cardinal series, respectively. Estimates for the approximation error are given; these are shown to be best possible.

线