A Baire function not countably decomposable into continuous functions
A Brief Story about the Operators of the Generalized Fractional Calculus
2000 Mathematics Subject Classification: 26A33, 33C60, 44A20In this survey we present a brief history and the basic ideas of the generalized fractional calculus (GFC). The notion “generalized operator of fractional integration” appeared in the papers of the jubilarian Prof. S.L. Kalla in the years 1969-1979 when he suggested the general form of these operators and studied examples of them whose kernels were special functions as the Gauss and generalized hypergeometric functions, including arbitrary...
A category analogue of the density topology
A Cauchy type condition and integrability
A characterization of chaotic functions with entropy zero via their maximal scrambled sets
In this note we characterize chaotic functions (in the sense of Li and Yorke) with topological entropy zero in terms of the structure of their maximal scrambled sets. In the interim a description of all maximal scrambled sets of these functions is also found.
A characterization of monomial functions.
A characterization of some classes of functions F of the form F(x, y) = g(...f(x) + ßf(y) + ...) or F(x, y) = ...(h(x) + k(y)).
A characterization of space-filling curves.
En este artículo revisamos un famoso teorema, descubierto por H. Steinhaus en 1936, en el que se da una condición suficiente que permite obtener las funciones coordenadas de una curva que llena el cuadrado unidad. Ponemos de manifiesto que el recíproco de este teorema no se cumple para la curva de Lebesgue. Aquí proponemos un teorema de caracterización de curvas que llenan el espacio, basado en una condición de llenado. Asimismo, damos una caracterización constructiva de esta condición de llenado...
A characterization of the orthogonal polynomials.
A characterization of the tangent function.
A characterization of -convex functions.
A class of commutators for multilinear fractional integrals in nonhomogeneous spaces.
A class of logarithmically completely monotonic functions associated with a gamma function.
A class of logarithmically completely monotonic functions related to and an application.
A Class of Means and Related Inequalities.
A Class of Singular Continuous Functions.
A class of subadditively continuous real functions
A classification of separable Rosenthal compacta and its applications [Book]
A Classification Of Solutions Of Second Order Linear Differential Equations By Means Of Regularly Varying Functions
A companion of Ostrowski's inequality for mappings whose first derivatives are bounded and applications in numerical integration