Some properties of absolutely monotonic functions
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولSome completely monotonic functions of positive order
We completely determine the set of (α, β) ∈ R2 for which the function e −e ex−1 is convex on (0,∞) and use this result to give some special classes of completely monotonic functions of positive order related to gamma and psi functions.
متن کاملOn Some Covariance Inequalities for Monotonic and Non-monotonic Functions
Chebyshev’s integral inequality, also known as the covariance inequality, is an important problem in economics, finance, and decision making. In this paper we derive some covariance inequalities for monotonic and non-monotonic functions. The results developed in our paper could be useful in many applications in economics, finance, and decision making.
متن کاملSome Classes of Completely Monotonic Functions
We prove: (i) Let Fn(x) = Pn(x) [ e− ( 1 + 1 x )x] and Gn(x) = Pn(x) [( 1 + 1 x )x+1 − e ] , where Pn(x) = xn + ∑n−1 ν=0 cνx ν is a polynomial of degree n ≥ 1 with real coefficients. Fn is completely monotonic if and only if n = 1 and c0 ≥ 11/12; and Gn is completely monotonic if and only if n = 1 and c0 ≥ 1/12. (ii) The functions x 7→ e − (1 + 1/x)x and x 7→ (1 + 1/x)x+1 − e are Stieltjes tran...
متن کاملSome Classes of Completely Monotonic Functions, Ii
A function f : (0,∞) → R is said to be completely monotonic if (−1)nf (n)(x) ≥ 0 for all x > 0 and n = 0, 1, 2, .... In this paper we present several new classes of completely monotonic functions. Our functions have in common that they are defined in terms of the classical gamma, digamma, and polygamma functions. Moreover, we apply one of our monotonicity theorems to prove a new inequality for ...
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: Bulletin of the American Mathematical Society
سال: 1946
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1946-08591-2