WebInequality Vern I. Paulsen and Dinesh Singh ABSTRACT. The classical inequality of Bohr concerning Taylor coeficients of bounded holomorphic functions on the unit disk, has … WebMay 1, 1992 · Bohr--Favard Inequality for differences and constants in Jackson--Stechkin Theorem. Y. Kryakin; Mathematics. ... Using a variant of Nikol’skii–Stechkin inequality we investigate the approximation problems in Holder type spaces connected with variable exponent spaces. Also, we estimate best approximations and …
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WebFeb 21, 2024 · Inequality. The cluster on inequality brings together work in a variety of fields -- on health, education, incomes, housing, families, organizations and meaning … WebFeb 15, 2024 · The Bohr-Favard inequality was studied also in [4, 7, 9]. The main purpose of this paper is to derive a new Bohr-Nikol’skii inequality for weighted Lebesgue spaces, which combines the inequality of Bohr-Favard and the Nikol’skii idea of inequality for functions in different metrics (see [12, 13]).
WebFeb 1, 1973 · We study certain functionals and obtain an inverse Hölder inequality for n functions f 1 a 1, ... [2, p. 220, foot- note 3] observed that we easily get the case n = 2, a^ = a^ = 1, f^ = p^ = 1 of Theorem 1.1. Favard [3, p. 58] proved that^may be arbitrary ~^\ in (1.2) and so the case n == 2, fli = a^ = l,p^ ~^ \, p^ ^ 1 follows from the ... WebFeb 1, 2016 · This paper propose a Berwald type inequality and a Favard type inequality for Sugeno integrals. That is, we first show that ((s)∫01f(x)pdμ)1p ≤ Hp,q ((s)∫01f(x)qdμ)1q holds for some ...
WebMay 15, 2024 · A modified Jackson-Favard inequality. In [6], Remark (d), Lubinsky mentions the possibility of a slightly modified Jackson-Favard inequality in the form E n (f, w) ≤ η n ‖ w f ′ ‖ + ‖ w f ‖ { x ≥ ξ n} where {η n} ↘ 0 and {ξ n} ↗ ∞ are two sequences independent of f. In fact, such an estimate can be given for higher ... WebLandau–Kolmogorov inequality. In mathematics, the Landau–Kolmogorov inequality, named after Edmund Landau and Andrey Kolmogorov, is the following family of interpolation inequalities between different derivatives of a function f defined on a …
WebAug 11, 2024 · 2.2 Some Favard Type Inequalities. In , Wulbert established a sharper version of a Favard type inequality obtained by Karlin and Novikoff in . More precisely, Wulbert proved the following result: Theorem 2.2 [14, Theorem 3.3] If \(f\in C[a,b]\) is a concave function on [a, b] and \(\Psi \) is convex on the intervals of integration, then
WebStrongly Reciprocally -Convex Functions and Some Inequalities. Article. Full-text available. Sep 2024. Hao Li. Muhammad Shoaib Saleem. Ijaz Hussain. Muhammad Imran. View. cape town weather yrWebFeb 15, 1995 · Majorization [18], Favard [19], Jensen-Mercer [20], and Hermite-Hadamard [21] inequalities are some of the important inequalities which have been acquired with … cape town wedding officiat paperwork onlyWebestablishing extensions of Bonnesen's inequality, bounds for the relative inradius and circumradius similar to those above will be discussed in the conclusion. The extension of Favard's inequality for n greater than 2 was obtained by Bokowski and Heil [4]. If we let R = R(K; B), i,j and k be integers such that 0 < i < j < k < n, cape town webcamsWebIn this paper, we obtain extensions of majorization type results and extensions of weighted Favard's and Berwald's inequality. We prove positive semi-definiteness of matrices … cape town weather today news 24WebIn approximation theory, Jackson's inequality is an inequality bounding the value of function's best approximation by algebraic or trigonometric polynomials in terms of the … cape town websiteWebFeb 18, 2009 · If , the reverse inequality holds in (1.8). In this paper, we give a related results to (1.3) for Favard's inequality (1.4) and (1.8). We need the following definitions … british prime minister william pitthttp://armjmath.sci.am/index.php/ajm/article/view/817 british prime minister when diana died