Arithmetic and Geometric Means, an Application to Lorentz Sequence Spaces

DOI10.1002/mana.19881390125zbMath0677.26010OpenAlexW2096113256MaRDI QIDQ3832802

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Publication date: 1988

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19881390125

zbMATH Keywords

inequalitiesBanach spacesarithmetic meangeometric meanpower meanLorentz sequence spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Inequalities for sums, series and integrals (26D15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (14)

Some completely monotonic functions relating to the gamma function ⋮ Estimates of the function and quotient by Minc-Sathre ⋮ Refinement of an inequality of G. Bennett ⋮ Asymptotic expansions and inequalities relating to the gamma function ⋮ GA-convexity and its applications ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ Generalization of H. Alzer's inequality ⋮ A note on sums of powers ⋮ Some monotonicity properties of convex functions with applications ⋮ New Sharp Bounds for Gamma and Digamma Functions ⋮ Sums of powers and majorization ⋮ Sharp inequalities related to Gosper's formula ⋮ Sharp inequalities involving \((n!)^{1/n}\) ⋮ Multiplicative convexity and its applications

Cites Work

• Eigenvalue distribution of compact operators
• Analytic Inequalities

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