value theorem
Flett's mean value theorem in topological vector spaces
... 1. Introduction. In 1958, Flett proved that if f : [a, b] → R is differentiable on [a, b] and satisfies f (a) = f (b), then there exists η in the open interval (a, b) such that f (η) − f (a) = (η − a)f (η) [3]. Flett’s ...
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Approach to a Proof of the Riemann Hypothesis by the Second Mean Value Theorem of Calculus
... 2 to the right that means to the critical line and call this Xi function Ξ ( ) z with z = + x i y . We derive some representations for it among them novel ones and discuss its properties, including its derivatives, its ...
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The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
... mean value theorem and Tay- lor’s theorem in the AB model of fractional ...mean value theorem for fractional difference operators have been proved in both the Caputo– Fabrizio model [32] ...
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An Intermediate Value Theorem for the Arboricities
... Rd denote the set of all realizations of degree sequence d. As a consequence of this result, Eggleton and Holton 8 defined, in 1978, the graph Rd of realizations of d whose vertex set is the set Rd, two vertices being ...
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,…,Y According to the extreme value theorem [2],
... Extreme Value and Generalised Logistic distributions to describe adequately extreme financial returns is ...Extreme Value in favour of the fatter tailed Generalised ...Extreme Value may underestimate ...
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Towards a Political Economy of the Hunters and Gatherers: A Study in Historical Materialism
... of value and it's relationship to optimization of ...marginal value theorem is ...surplus value, roundabout ...labour value and the adding-up theorem of wages, rent and profit, ...
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On the identity involving certain Hardy sums and Kloosterman sums
... mean value theorem of Dirichlet L-functions, to study a hybrid mean value problem involving certain Hardy sums and Kloosterman sums and give two exact computational formulae for ...
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The pure logic of value, profit, interest
... The conditions for the application of the axiomatic value theorem constitute an elementary consumption economy and are plausible in this restricted domain. They allow for the following conditional ...
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An axiomatic integral and a multivariate mean value theorem
... Applications of such a very general mean value theorem are numerous, and we are not discussing particular applications in this paper. Let us just mention that as shown in [], the theorems of this type can ...
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On a functional equation related to a generalization of Flett's mean value theorem
... mean value theorem to ask the question of which functions attained their mean value at a prescribed point c ∈ (a,b), in par- ticular, at the midpoint c = (a + ...mean value on any interval is ...
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On Generalized Flett's Mean Value Theorem
... In connection with Theorem 1.1, the following question may arise: Are there changes if in Theorem 1.1 the hypothesis fa fb refers to higher-order derivatives? Flett, see 1, first proved in 1958 the ...
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UNIFIED NOTATION FOR INTEGRALS. Frequently we shall discuss results
... document http://math.ucr.edu/~res/math10B/multidifferentiation.pdf. Frequently this result is derived using a so – called Mean Value Theorem for integrals. Versions of this result are stated at a couple of ...
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The uniqueness of the solution for the definite problem of a parabolic variational inequality
... The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with ...
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Spatial Disorder of Soliton Solutions for 2D Nonlinear Schr¨odinger Lattices
... Considering only the soliton solutions, the DNLS equation also exhibits the spatial disorder. For the DNLS equations in the one-dimensional lattice (i.e., the case α = β = 0 and γ = 1 in (3)), soliton solutions were ...
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Spontaneous symmetry breaking and the Goldstone theorem in non Hermitian field theories
... The nature of spontaneous symmetry breaking is a fascinating and deep issue in quantum field theory. In conventional Hermitian QFT, it is well understood how the spontaneous breaking of a global symmetry is accompanied ...
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Existence Theorem for a Nonlinear Functional Integral Equation and an Initial Value Problem of Fractional Order in L1(R+)
... existence theorem of functional integrable equation in the space of Lebesgue integrable functions on un- bounded interval L ₁ 0, is presented and ...this theorem, we investigated the exis- tence of ...
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On a theorem of Schur
... Abstract. We study the ramifications of Schur’s theorem that, if G is a group such that G/ZG is finite, then G is finite, if we restrict attention to nilpotent group. Here ZG is the center of G, and G is the ...
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The Difference Splitting Scheme for Hyperbolic Systems with Variable Coefficients
... We consider the mixed dissipative boundary value problem for a two-dimensional linear hyperbolic system with variable co- efficients and lower order term [1]. For this problem, we con- struct and investigate the ...
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Solutions of Three Point Boundary Problems for Non Linear Second Order Differential Equations
... Where , ; [0,1] × → are continuous, both (. , ) and (. , )are symmetric on [0,1], ( , 0) ≡ 0, ( , 0) ≡ 0, | − | ≤ , + ≥ 2 , , ≥ 0, ≠ 0.The arguments for establishing the symmetric positive solutions of (1.3) involve ...
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Dynamic Principal–Agent Models
... principal’s value function, which solves the dynamic programming problem in the recursive formulation, by providing a contraction mapping ...standard value function ...and value functions for the ...
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