Results 21 to 30 of about 486,669 (177)
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
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
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
Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations
, 2011 Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
core +1 more source
On functions of bounded p-variation
Journal of Mathematical Analysis and Applications, 2009 The authors obtain estimates of the total \(p\)-variation ...
Kolyada, V.I., Lind, M.
openaire +2 more sources
On functions of bounded variation [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2016 AbstractThe recently introduced concept of ${\mathcal D}$-variation unifies previous concepts of variation of multivariate functions. In this paper, we give an affirmative answer to the open question from [20] whether every function of bounded Hardy–Krause variation is Borel measurable and has bounded ${\mathcal D}$-variation.
Aistleitner, Christoph +3 more
openaire +3 more sources
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
Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications [PDF]
, 2007 Sharp bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f' including absolute continuity, convexity, bounded
Dragomir, Sever S
core
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