Results 31 to 40 of about 61,523 (203)
Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener [PDF]
Opuscula Mathematica, 2010 We show that the one-sided regularizations of the generator of any uniformly continuous and convex compact valued composition operator, acting in the spaces of functions of bounded variation in the sense of Wiener, is an affine function.
A. Azócar +3 more
doaj +1 more source
Duality in Convex Problems of Bolza over Functions of Bounded Variation [PDF]
SIAM Journal of Control and Optimization, 2013 This paper studies fully convex problems of Bolza in the conjugate duality framework of Rockafellar. We parameterize the problem by a general Borel measure which has a direct interpretation in certain problems of financial economics.
T. Pennanen, Ari-Pekka Perkkiö
semanticscholar +1 more source
Decomposition of Functions of Bounded Variation
The Annals of Probability, 1975 Cramer's theorem, that a normal distribution function $(\operatorname{df})$ has only normal components, is extended to a case where the components are allowed to be from a subclass $(B_1)$ of the functions of bounded variation other than the class of df's.
openaire +3 more sources
Generalization of Szász operators: quantitative estimate and bounded variation
Karpatsʹkì Matematičnì Publìkacìï, 2021 Difference of exponential type Szász and Szász-Kantorovich operators is obtained. Similar estimates are given for higher order $\mu$-derivatives of the Szász operators and the Szász-Kantorovich type operators acting on the same order $\mu$-derivative of ...
K. Bozkurt, M.L. Limmam, A. Aral
doaj +1 more source
The dual of the space of functions of bounded variation [PDF]
Mathematica Bohemica, 2006 Summary: We show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes integral.
Aye, Khaing Khaing, Lee, Peng Yee
openaire +1 more source
Parameterized inequalities based on three times differentiable functions
Boundary Value ProblemsThis paper presents a general identity including two real parameters for three times differentiable functions. By using this equality, we prove several inequalities by using diverse function classes such as convex function, bounded function, Lipschitzian
Bouharket Benaissa +2 more
doaj +1 more source
Henstock-Kurzweil Integral Transforms
International Journal of Mathematics and Mathematical Sciences, 2012 We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .
Salvador Sánchez-Perales +2 more
doaj +1 more source
Uniformly continuous set-valued composition operators in the space of total φ-bidimensional variation in the sense of Riesz [PDF]
Opuscula Mathematica, 2010 In this paper we prove that if a Nemytskij composition operator, generated by a function of three variables in which the third variable is a function one, maps a suitable large subset of the space of functions of bounded total \(\varphi\)-bidimensional ...
Wadie Aziz +3 more
doaj +1 more source
Two remarks on properties of functions of bounded variation
Вестник Самарского университета: Естественнонаучная серияIn terms of variations, a sufficient condition for the uniform convergence of sequences of continuous functions is proved. Using this result, we obtain an addition to the classical Helly theorem on the selection of convergent sequences of functions with ...
Sergey V. Astashkin, Vladislav M. Ershov
doaj +1 more source
Publicaciones en Ciencias y Tecnología, 2016 In this paper we introduce the notion of “function of second bounded variation” in the sense of Shiba, and we show that if a superposition operator applies the space of all such functions on itself and it is uniformly bounded, then its generating ...
José Giménez +3 more
doaj +2 more sources