A natural continuous interpolating structure for continued fractions

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A New Approach to the Image Resizing Using Interpolating Rational - Linear Splines by Continued Fractions ?

This paper proposes a new image resizing method based on splines, which is constructed by the Thieletype continued fractions and the Newton interpolation. Like most interpolation techniques proposed in the past, this paper focuses on determining pixel values using the relationship between neighboring points. The interpolation is carried out by choosing the osculatory interpolants in every subin...

متن کامل

Natural Extensions and Entropy of Α-continued Fractions

We construct a natural extension for each of Nakada’s α-continued fraction transformations and show the continuity as a function of α of both the entropy and the measure of the natural extension domain with respect to the density function (1+ xy). For 0 < α ≤ 1, we show that the product of the entropy with the measure of the domain equals π/6. We show that the interval (3 − √ 5)/2 ≤ α ≤ (1 + √ ...

متن کامل

Generalized Continued Logarithms and Related Continued Fractions

We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary continued logarithms introduced by Borwein et. al., we focus on a new generalization to an arbitrary integer base b. We show that all of our so-called type III continued logarithms converge and all rational numbers have fin...

متن کامل

Continued Logarithms and Associated Continued Fractions

We investigate some of the connections between continued fractions and continued logarithms. We study the binary continued logarithms as introduced by Bill Gosper and explore two generalizations of the continued logarithm to base b. We show convergence for them using equivalent forms of their corresponding continued fractions. Through numerical experimentation we discover that, for one such for...

متن کامل

Periodic Continued Fractions And

We investigate when an algebraic function of the form φ(λ) = −B(λ)+ √ R(λ) A(λ) , where R(λ) is a polynomial of odd degree N = 2g + 1 with coefficients in C, can be written as a periodic α-fraction of the form

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 1999

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(99)00037-0