[PDF] Top 20 On a functional equation related to a generalization of Flett's mean value theorem
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On a functional equation related to a generalization of Flett's mean value theorem
... Lagrange 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 + ...the ... See full document
5
Flett's mean value theorem in topological vector spaces
... This article focuses on three distinct generalizations of Flett’s theorem. First, we drop the endpoint condition f (a) = f (b). Second, we consider the case where f is not differentiable at a finite number of ... See full document
6
On Generalized Flett's Mean Value Theorem
... In recent years there has been renewed interest in Flett’s mean value theorem; see a survey in 9. Among the many other extensions and generalizations of Theorem 1.3, see, for example, 10–13, ... See full document
8
Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter
... point theorem, the eigenvalue intervals of the nonlinear fractional functional differential equation boundary value problem are considered, and some positive solutions are obtained, ... See full document
18
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 ... See full document
11
Three-point boundary value problems of fractional functional differential equations with delay
... boundary value problems into an abstract operator ...point theorem and the Banach contraction principle, some existence results of solutions are obtained, ... See full document
15
Approach to a Proof of the Riemann Hypothesis by the Second Mean Value Theorem of Calculus
... differential equation with a real variable t (say the time) for given arbitrary analytic functions f z ( ) where the time evolution of the function for every point z finally transforms the function in one of the ... See full document
51
Inequalities including functional affine combinations
... in equation (5) contains two means. The first mean is the convex com- bination in parentheses on the left-hand side, and the second mean is the convex combination on the right-hand ... See full document
14
An extension and a generalization of Dedekind's theorem
... Dedekind’s theorem. The extension leads to a generalization of Dedekind’s theorem and a simple expression for inverse elements in the group ... See full document
7
M53 Lec4.6 Volume by Slicing and Mean Value Theorem for Integrals.pdf
... perpendicular to the y -axis is an isosceles right triangle with one leg lying on. the base of the solid[r] ... See full document
152
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 ... See full document
8
Local solutions of the generalized Dhombres functional equation in a neighbourhood of infinity*
... The definitions and facts which we now give are necessary for understanding the following. We define C ? := C \ {0}, and when we talk about the complex number w 0 we always mean that w 0 ∈ C ? . By E we denote the ... See full document
14
On the Superstability Related with the Trigonometric Functional Equation
... which states that the superpositions x ∗ ◦ f and x ∗ ◦ g yield a solution of inequality 2.1. Since, by assumption, the superposition x ∗ ◦ g is unbounded, an appeal to Theorem 2.1 shows that three results hold. ... See full document
11
Search | Preprints
... The mean is sometimes taken as the foundational principle for all of probability theory (see, for example, ...the mean in favor of the median because of its ...the mean sometimes does not exist ... See full document
29
A Variational Approach to the Establishment of a Lubrication Equation for a Non-Newtonian Thin Film
... The variational approach to lubrication has now become a popular tool for establishing various Reynolds-type equations for various non- Newtonian lubrication problems ([7] and [8]). This paper aims to establish a ... See full document
5
On the Continuous Dependence of a Functional Integral Equation with Parameter
... Functional integral equation appear in various research areas and have applications in Euclidean and non-Euclidean geometry, Mechanics, Business mathematics, Biology, and probability ... See full document
7
M53 Lec3.1 MVT and Relative Extrema.pdf
... The Mean Value Theorem and Relative Extrema.. Mathematics 53.[r] ... See full document
200
Mean value theorem for integrals and its application on numerically solving of Fredholm integral equation of second kind with Toeplitz plus Hankel Kernel
... In [3], Avazzadeh et al. introduced a new method for solving Fredholm integral equation by using integral mean value method (IMVM)and M. Heydari et al. [10] extended their method for high dimensional ... See full document
10
A Generalization of Ince’s Equation
... From lemma 3.4 we know that if y is twice differentiable, y is a solution to the generalized Ince’s equation with parameters λ , a , b , and d if and only if ω y is a solution to its formal adjoint. Since the ... See full document
13
ON GENERALIZATION OF WEIERSTRASS APPROXIMATION THEOREM FOR A GENERAL CLASS OF POLYNOMIALS AND GENERATING FUNCTIONS
... Abstract. Here, in this work we present a generalization of the Weierstrass Approxima- tion Theorem for a general class of polynomials. Then we generalize it for two variable continuous function F (x, t) ... See full document
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