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A Main Class of Integral Inequalities with Applications
ArticleAbstract: Abstract: In this paper, we define some integral transforms and obtain suitable bounds for them in oPalabras claves:error bounds, integral transforms, Ostrowski inequality, Ostrowski-Grüss inequality, quadrature rulesAutores:Dragomir S.S., Edward A.M. Omey, Masjed-Jamei M.Fuentes:scopusAbelian and Tauberian theorems for the Laplace transform of functions in several variables
ArticleAbstract: Using two kinds of multivariate regular variation we prove several Abel-Tauber theorems for the LaplPalabras claves:multivariate regular variation, Tauberian theorem, power series, multivariate renewal theoryAutores:Edward A.M. Omey, Willekens E.Fuentes:scopusAn Abelian theorem for a general class of Mellin-type integral transforms
ArticleAbstract:Palabras claves:Autores:Edward A.M. Omey, Embrechts P.Fuentes:scopusDomains of attraction and regular variation in IR<sup>d</sup>
ArticleAbstract: A general form for regular variation in IR2 is introduced and applied to domains of attraction of stPalabras claves:Abel-Tauber theorem, domains of attraction in IR d, Regular variation in IR dAutores:de Haan L., Edward A.M. Omey, Resnick S.Fuentes:scopusEstimating the ratio of means
ArticleAbstract: Confidence intervals for ratio of means for large paired and unpaired samples with finite variance,Palabras claves:confidence interval, Cramér-Wold device, Large sample, Ratio of means, Stable distributionAutores:Edward A.M. Omey, Meitner CadenaFuentes:scopusOn Functions Bounded by Karamata Functions
ArticleAbstract: We define a new class of positive and measurable functions that are bounded by regularly varying funPalabras claves:Autores:Edward A.M. Omey, Kratz M., Meitner CadenaFuentes:scopusOn the class gamma and related classes of functions
ArticleAbstract: The gamma class Γα(g) consists of positive and measurable functions that satisfy f(x + yg(x))/f(x) →Palabras claves:Beurling variation, Differential equations, Growth of functions, Local uniform convergence, Remainder terms, The class gammaAutores:Edward A.M. OmeyFuentes:scopusOn the order of functions at infinity
ArticleAbstract: We define a new class of positive and measurable functions in terms of their asymptotic behavior atPalabras claves:Karamata's Tauberian theorem, Karamata's theorem, Regular variation, Representation theoremsAutores:Edward A.M. Omey, Kratz M., Meitner CadenaFuentes:scopusOn xiang's observations concerning the Cauchy-Schwarz inequality
ArticleAbstract: We give a simple proof of an improved version of the Cauchy-Schwarz inequality for vectors and for fPalabras claves:Autores:Edward A.M. OmeyFuentes:scopusIntuitive approximations in discrete renewal theory, Part 1: Regularly varying case
ArticleAbstract: It is usually impossible to find explicit expressions for the renewal sequence. This paper presentsPalabras claves:Approximations, Regular variation, Renewal sequenceAutores:Edward A.M. Omey, Van Gulck S.Fuentes:scopus