A New Approximation Related to the Error Function
نویسندگان
چکیده
منابع مشابه
A method to obtain the best uniform polynomial approximation for the family of rational function
In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...
متن کاملA Pair of Optimal Inequalities Related to the Error Function
The function V (x) ≡ √ πe x 2 [1 − erf(x)] (1) = ∞ 0 e −u √ x 2 + u du = 2e x 2 ∞ x e −t 2 dt arises in many contexts, from probability to mathematical physics, and satisi-fies the differential equation V ′ (x) = 2xV (x) − 2 with V (0) = √ π. (2) In this note, we restrict attention to x ≥ 0, in which case 0 < V (x) < 1/x and V (x) is decreasing. For x ≥ 0 we show that g π (x) ≤ V (x) < g 4 (x) (3)
متن کاملA new Approximation to the solution of the linear matrix equation AXB = C
It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C....
متن کاملa 10-bit 50-ms/s parallel successive-approximation analog-to-digital converter
applications such as high definition viedeo reproduction, portable computers, wireless, and multimedia demand, and ever-increasing need for ligh-frequency high-resolution and low-power analog-to-digital converters. flash, two-step flash, and pipeline convertors are fast but consume large amount of power and require large area. to overcome these problems, successive approximation converter blo...
15 صفحه اولThe Existence of a Distribution Function for an Error Term Related to the Euler Function
(1.5) R(x) > cx log log log log x, (1 .6) R(x) < cx log log log log x, (1 .7) H(x) > c log log log log x, (1 .8) H(x) < c log log log log x . In this paper we propose to continue the study of the error function H(x), and will prove that H(x) possesses a continuous distribution function . By this we mean that for N(n, u) = the number of m < n such that H(m) > u, we have for each u, o < u < -, th...
متن کاملذخیره 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: Mathematics of Computation
سال: 1968
ISSN: 0025-5718
DOI: 10.2307/2004781