The weak asymptotic equivalence and the generalized inverse

DOI10.1007/S10986-010-9069-1zbMath1208.26008OpenAlexW2012105607MaRDI QIDQ619348

Dragan Djurčić, Rale M. Nikolić, Aleksandar Torgašev

Publication date: 24 January 2011

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-010-9069-1

zbMATH Keywords

regular variationgeneralized inverseweak asymptotic equivalence

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (5)

The weak and strong asymptotic equivalence relations and the generalized inverse ⋮ A few remarks on divergent sequences: rates of divergence. II. ⋮ Characterizations of monotone \(\mathcal O\)-regularly varying functions by means of indefinite eigenvalue problems and HELP type inequalities ⋮ Optimal Adaptation for Early Stopping in Statistical Inverse Problems ⋮ Indices of O-regular variation for weight functions and weight sequences

Cites Work

• Some properties of rapidly varying sequences
• Dominated variation and related concepts and Tauberian theorems for Laplace transforms
• Some asymptotic relations for the generalized inverse
• Über einige Taubersche Sätze, deren Asymptotik von Exponentialcharakter ist
• AN EXTENSION OF KARAMATA'S TAUBERIAN THEOREM AND ITS CONNECTION WITH COMPLEMENTARY CONVEX FUNCTIONS
• Regularly varying sequences and second order difference equations
• On a generalization of regularly increasing functions
• Regularly varying functions
• Strong asymptotic equivalence and inversion of functions in the class \(K_c\)
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