Continuous monotone function

Part 1 of ebook "Understanding analysis" provides readers with contents including: chapter 1 - the real numbers; chapter 2 - sequences and series; chapter 3 - basic topology of R; chapter 4 - functional limits and continuity;...

155p thamnhuocgiai 24-09-2023 4 3   Download

Ebook Measure Theory and Functional Analysis: Part 1 presents the following content: Differentiation and Integration Differentiation of Monotone Functions; Functions of Bounded Variation; Differentiation of an Integral; Absolute Continuity;...Please refer to the documentation for more details.

189p chankora 16-06-2023 5 1   Download

Ebook Real Analysis: Part 2 presents the following content: Limit of a Function; Properties of Continuous Functions; Discontinuities and Monotonic Functions; Sequences and Series of Functions; Uniform Convergence of Functions; Uniform Convergence and Continuity;...Please refer to the documentation for more details.

173p chankora 16-06-2023 5 1   Download

Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. Although such examples could be constructed by classical means of probability and measure theory, this one is more elementary and emerges naturally as a byproduct of some new fractal constructions.

10p danhdanh27 07-01-2019 23 1   Download

PERIODIC BOUNDARY VALUE PROBLEMS ON TIME SCALES ´ PETR STEHLIK Received 20 April 2004 We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not work on each time scale, a condition containing a Lipschitz constant of right-hand side function and the supremum of the graininess function is introduced.

12p sting12 10-03-2012 47 6   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions

11p sting10 29-02-2012 43 4   Download