functions of bounded variation
Ostrowski type inequalities for sets and functions of bounded variation
... t∈(,) f (t) . The inequality is sharp. Inequalities that estimate deviation of a function from its mean value using different characteristics of the function are usually called Ostrowski type inequalities. Such inequal- ...
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Chap 07 Real Analysis: Functions of Bounded Variation
... W e shall now discuss the concept of functions of bounded variation which is closely associated to the concept of monotonic functions and has wide application in mathematics. These fun[r] ...
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Uniformly Bounded Set Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
... uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, ...
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Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results
... Abstract. Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p ∈ [1, ∞] are established. Applications related ...
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Functions of bounded variation in Carnot-Carathéodory spaces
... of functions with bounded variation in Carnot-Carathéodory ...with bounded variation in a class of Carnot groups that includes all Heisenberg groups H n with n ≥ ...with bounded ...
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A companion of Ostrowski's inequality for functions of bounded variation and applications
... Wang, Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules , Appl. Wang, A new inequality of Ostrowski’s ty[r] ...
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Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation
... 1. Introduction The Fourier Transform has applications in a wide variety of fields in science and engineering [1, p. xi]. In this paper, by use of some integral identities and inequalities developed in [4](see also [5]), ...
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Nemytskii Operator in the Space of Set Valued Functions of Bounded φ Variation
... valued functions was proved in [2] on the space of Lipschitz ...set-valued functions of bounded variation in the classical Jordan ...single-valued functions it was proved in ...
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On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications
... for functions of bounded variation are studied by many ...for functions of bounded variation, please refer to ([1],[2] [4]-[6], ...inequalities functions of two variables ...
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Rate of convergence of bounded variation functions by a Bézier Durrmeyer variant of the Baskakov operators
... We consider a Bézier-Durrmeyer integral variant of the Baskakov operators and study the rate of convergence for functions of bounded variation.. 2000 Mathematics Subject Classification: 4[r] ...
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Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation
... for functions of bounded ...continuous functions f of polynomial growth as t → + ∞ , having a derivative f coinciding ...of bounded variation on each finite subinterval of ...
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Ostrowski and Trapezoid Type Inequalities for the Generalized k-g-Fractional Integrals of Functions with Bounded Variation
... In this paper we establish some Ostrowski and trapezoid type inequalities for the k-g-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are ...
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Functions of Bounded (p(⋅), 2) Variation in De la Vallée Poussin Wiener’s Sense with Variable Exponent
... second variation of f on [ ] a b , , where the supremum is taken over all partitions π of [ ] a b , ...has bounded second variation on [ ] a b , and we denote it by f ∈ BV ( ) 2 [ ] a b , ...the ...
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Nemytskii operator on generalized bounded variation space
... Vol’pert, N. Wiener, among many others. It is noteworthy to mention that many of these generalizations where motivated by problems in such areas as calculus of variations, convergence of Fourier series, geometric measure ...
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Classes of functions associated with bounded Mocanu variation
... of functions which are subordinated to a convex ...real-valued functions with bounded variation on [0, 2 π ] are ...of functions associated with bounded Mocanu ...prestarlike ...
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On Ostrowski Type Inequalities for Functions of Two Variables with Bounded Variation
... of bounded variation if it satisfies the condition of Definition 1 and if in addition f (x, y) is of bounded variation in y ...of bounded variation in y ...
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Rate of convergence on Baskakov Beta Bezier operators for bounded variation functions
... But the analogous results for these operators are not possible. The main problem is in the estimation of S n,α (sign(t − x), x) and M n,α (sign(t − x), x) because we cannot relate summation of Szász (Baskakov) basis with ...
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Rate of convergence for some linear positive operators for bounded variation functions
... Received 03 September 2014; accepted (in revised version) 06 December 2014 Abstract: Gupta and Ahmad[1] introduced the modified Beta operators B n (f , x ) and estimated some direct results in simul- taneous ...
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On Bounded Second Variation
... On Bounded Second Variation José Giménez 1 , Lorena López 1 , N. Merentes 2 , J. L. Sánchez 2 1 Departmento de Matemáticas, Universidad de los Andes, Mérida, Venezuela 2 Departmento de Matemáticas, ...
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On weighted integrability of functions defined by trigonometric series with p bounded variation coefficients
... p-bounded variation sequences and give a sufficient and necessary condition for weighted integrability of trigonometric series with coefficients belonging to these ...
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