Results 1 to 10 of about 167,639,266 (299)

Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes

Journal of Function Spaces, 2014
Some sharp estimates of the Lp1 ...
Heping Wang, Zhaoyang Wu
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A comprehensive study on Milne-type inequalities with tempered fractional integrals

Boundary Value Problems
In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the ...
Wali Haider, Hüseyin Budak, Asia Shehzadi, Fatih Hezenci, Haibo Chen   +4 more
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The Stieltjes moment problem for functions of bounded variation

, 1939
was set and solved by T. J. Stieltjes. It would be natural to at tempt to generalize the problem by requiring merely that a(t) should be a function of bounded variation on (0, °o ) ; but the generalized problem has, as Theorem 1 shows, a trivial solution.
R. Boas
semanticscholar   +1 more source

Exploring Advanced Weighted Integral Inequalities via Extended Fractional Calculus Approaches

Fractal and Fractional
This paper investigates weighted Milne-type (M−t) inequalities within the context of Riemann–Liouville (R−L) fractional integrals. We establish multiple versions of these inequalities, applicable to different function categories, such as convex functions
Areej A. Almoneef, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat   +3 more
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Measure Functional Differential Equations in the Space of Functions of Bounded Variation

Abstract and Applied Analysis, 2013
We establish general conditions for the unique solvability of nonlinear measure functional differential equations in terms of properties of suitable linear majorants.
S. M. Afonso, A. Rontó
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Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation

Journal of Mathematics, 2015
We study the locally defined operator on the spaces of bounded Riesz p-variation functions and we prove that those operators are the Nemytskii operator.
W. Aziz, J. A. Guerrero, K. Maldonado, N. Merentes   +3 more
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On convergence of Chlodovsky type Durrmeyer polynomials in variation seminorm

Journal of Numerical Analysis and Approximation Theory, 2018
This paper deals with the variation detracting property and rate of approximation of the Chlodovsky type Durrmeyer polynomials in the space of functions of bounded variation with respect to the variation seminorm.
Özlem Öksüzer Yilik, Harun Karsli, Fatma Tasdelen   +2 more
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UNIFORMLY BOUNDED SUPERPOSITION OPERATORS IN THE SPACE OF SECOND BOUNDED VARIATION FUNCTIONS IN THE SENSE OF SHIBA

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, Nelson Merentes, Ebner Pineda, Luz Rodríguez   +3 more
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Rate of convergence of Stancu beta operators for functions of bounded variation

Journal of Numerical Analysis and Approximation Theory, 2004
In this paper we study beta operators of second kind recently introduced by Prof. D. D. Stancu. We obtain an estimate on the rate of convergence for functions of bounded variation by means of the decomposition technique.
Ulrich Abel, Vijay Gupta
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A duality theorem by means of Riemann Stieltjes integral

Le Matematiche, 1993
Duality between the space of continuous functions and the space of bounded variations functions can be easily characterized by means of Riemann-Stieltjes integrals when we consider real valued functions defined, e.g., on [0,1]; here we give a self ...
Ottavio Caligaris, Pietro Oliva
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