An extension of Chebyshev's inequality and its connection with Jensen's inequality.
An extension of results of A. McD. Mercer and I. Gavrea.
An extension of Stolarsky means.
An extension of the inverse function theorem.
An extension of the Riemann-Lebesgue lemma and some applications.
An extension to the Owa-Srivastava fractional operator with applications to parabolic starlike and uniformly convex functions.
An imbedding theorem for H°(G,Ω)-spaces
An inconsistency equation involving means
We show that any quasi-arithmetic mean and any non-quasi-arithmetic mean M (reasonably regular) are inconsistent in the sense that the only solutions f of both equations and are the constant ones.
An inequality for m-convex sequences
An inequality for the Lebesgue measure and its further applications
An infinite-dimensional subspace of consisting of functions with no finite one-sided derivatives.
An integral defined by approximating partitions of unity
An Integral in Topological Spaces II.
An Interpretation Of Some Aspects Of Karamata's Theory Of Regular Variation
An interpretation of some aspects of Karamata's theory of regular variation.
An inverse of the Faà di Bruno formula.
An o-minimal structure which does not admit cellular decomposition
We present an example of an o-minimal structure which does not admit cellular decomposition. To this end, we construct a function whose germ at the origin admits a representative for each integer , but no representative. A number theoretic condition on the coefficients of the Taylor series of then insures the quasianalyticity of some differential algebras induced by . The o-minimality of the structure generated by is deduced from this quasianalyticity property.
An operational Haar wavelet method for solving fractional Volterra integral equations
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
Análisis de las singularidades de una ecuación diferencial fraccionaria no lineal.
Se exponen las estimaciones numéricas preliminares de las singularidades de una ecuación diferencial fraccionaria no lineal. Dicha ecuación aparece en el estudio de las ondas viajeras asociadas a una ecuación de ondas que es una interpolación entre la ecuación de ondas clásica y la ecuación de Benjamin-Ono.
Analyse 2-microlocale et développementen série de chirps d'une fonction de Riemann et de ses généralisations
En dimension 1 on analyse la fonction irrégulière (p entier ≥ 2) en un point de dérivabilité (π est un tel point) et on démontre que le terme d’erreur est un chirp de classe (1 + 1/(2p-2), 1/(p-1), (p-1)/p). La fonction r(x) est dans l’espace 2-microlocal si et seulement si s+s’ ≤ 1 - 1/p et ps+s’≤ p - 1/2. En dimension 2, on obtient en (π,π) l’existence d’un plan tangent pour la surface dès que γ>1.