Function of Bounded Variation
Rate of convergence of bounded variation functions by a Bézier Durrmeyer variant of the Baskakov operators
... Theorem 2.1 . Assume that f ∈ W (0, ∞ ) is a function of bounded variation on every finite subinterval of (0, ∞ ). Furthermore, let α ≥ 1, λ > 2, and x ∈ (0, ∞ ) be given. Then, for each r ∈ N , ...
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On Second Riesz Φ Variation of Normed Space Valued Maps
... of function of bounded second -variation in the sense of ...a function F, with values in a reflexive Banach space, is of bounded second -variation, in the sense of Riesz, if ...
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Applications of Some Classes of Sequences on Approximation of Functions (Signals) by Almost Generalized Nörlund Means of Their Fourier Series
... rest bounded variation sequences and head bounded variation sequences, some new results on approximation of function- s (signals) by almost generalized N¨ orlund means of their Fourier ...
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The Space of Bounded p(·) Variation in Wiener’s Sense with Variable Exponent
... a function f : [ ] a b , → is regular function if and only if it is the composition of increasing function and continuous ...that function is of bounded variation if and only ...
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On Ostrowski Type Inequalities for Functions of Two Variables with Bounded Variation
... The function f (x, y) is said tobe 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 ...
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A companion of Ostrowski's inequality for functions of bounded variation and applications
... Recently, Guessab and Schmeisser [23], in the effort of incorporating together the mid-point and trapezoid inequality, have proved amongst others, the following companion of Ostrowski’s inequality. Theorem 1.3. Assume ...
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Ostrowski type inequalities for sets and functions of bounded variation
... The paper is organized as follows. In Section we list the notations used throughout the paper. In Sections and we introduce definitions, justify the correctness of the def- initions, and list some properties of the ...
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Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results
... of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p ∈ [1, ∞] are ...a function are also pointed ...
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Uniformly Bounded Set Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
... Theorem 4.3. Let ( X , ⋅ ) be a real normed space, ( Y , ⋅ ) be a real Banach space, C ⊂ X be a convex cone, I ⊂ be an arbitrary interval and suppose ϕ ψ , ∈ . If the composition operator H generated by a set-valued ...
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Restrictions of holder continuous functions
... Abstract. For 0 < α < 1 let V (α) denote the supremum of the numbers v such that every α-H¨ older continuous function is of bounded variation on a set of Hausdorff dimension v. Kahane and ...
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Classes of functions associated with bounded Mocanu variation
... In the paper we introduce the class of linear combinations of functions which are subordinated to a convex function. Some relationships between this class and the class of real-valued functions with bounded ...
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Spectral Theory for Generalized Bounded Variation Perturbations of Orthogonal Polynomials and Schrödinger Operators
... As we have mentioned before, for Schr¨ odinger operators in more than one dimension the question of self-adjointness and boundary conditions is much more subtle. We will focus on the case when V (x) is a function ...
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Functions of Bounded (p(⋅), 2) Variation in De la Vallée Poussin Wiener’s Sense with Variable Exponent
... are bounded on variable Lebesgue ...modular function spaces (see for example Musielak [17] [18], Kovacik and Rakosnik [19] and Kozlowski ...generalized bounded variation. They introduced the ...
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On Bounded Second Variation
... of bounded variation on , is denoted as BV a b , ...a function f : , a b is of bounded variation on a b , if, and only if, it is the diference of two monotone ...every ...
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Continuous Piecewise Linear Approximation of BV Function
... bounded variation. Thus the variable knot of approximating function could be self- adaptively chosen by balancing the total variation of the target ...
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The expected variation of random bounded integer sequences of finite length
... ascent variation, the f -adjacency statis- tic induced by f (xy) = y − x if x < y and 0 ...real-valued function, Chao and Liang [2] described the arrangements of n distinct integers for which adf ...
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Bounded sets in the range of an X∗∗ valued measure with bounded variation
... ation. This paper is devoted to a study of bounded sets in a Banach space having that property. Since the convex andclosedhull of the range of a measure is the range of another one (see Diestel and Uhl [3]), we ...
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Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation
... In this paper, by use of some integral identities and inequalities developed in [4](see also [5]), we point out some approximations of the Fourier transform in terms of the complex exponential mean E (z, w) (see Section ...
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Generalizations of Weighted Trapezoidal Inequality for Mappings of Bounded Variation and their Applications
... In this paper, we establish some generalizations of weighted trape- zoid inequality for mappings of bounded variation, and give several applica- tions for r − moment , the expectation of[r] ...
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Bounds for the Čebyšev Functional of a Convex and a Bounded Function
... School of Computer Science and Mathematics, Victoria University of Technology, PO Box 14428, Melbourne 8001, Victoria, Australia. E-mail address: [email protected][r] ...
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