The dominated integral
نویسندگان
چکیده
منابع مشابه
INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF (p; q)-H-DOMINATED INTEGRATORS WITH APPLICATIONS
Assume that u; v : [a; b] ! R are monotonic nondecreasing on the interval [a; b] : For p; q > 1 with 1 p + 1 q = 1; we say that the complex-valued function h : [a; b] ! C is (p; q)-H-dominated by the pair (u; v) if jh (y) h (x)j [u (y) u (x)] 1=p [v (y) v (x)] 1=q for any x; y 2 [a; b] with y x: In this paper we show amongst other that Z b a f dh Z b a jf j du 1=p Z b a jf j dv 1=q ; and Z b a ...
متن کاملInequalities for the Riemann-stieltjes Integral of S-dominated Integrators with Applications (i)
Assume that u; v : [a; b] ! R are monotonic nondecreasing on the interval [a; b] : We say that the complex-valued function h : [a; b] ! C is S-dominated by the pair (u; v) if jh (y) h (x)j 2 [u (y) u (x)] [v (y) v (x)] for any x; y 2 [a; b] : In this paper we show amongst other that Z b a f (t) dh (t) 2 Z b a jf (t)j du (t) Z b a jf (t)j dv (t) ; for any continuous function f : [a; b] ! C. Appl...
متن کاملThe convexity of the integral operator on the class of the integral operator on the class B(mu,alpha)
In this paper, we study the convexity of the integral operator
متن کاملThe dark energy–dominated Universe
In this paper we investigate the epochs in which the Universe started accelerating and when it began to become dark energy–dominated (i.e., the dynamics of the expansion of the Universe dominated by the dark energy). We provide analytic expressions to calculate the redshifts of these epochs as a function of density parameters. Moreover, we review and discuss cosmological models with a dark ener...
متن کاملThe Sugeno fuzzy integral of concave functions
The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity....
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: Journal of Approximation Theory
سال: 1976
ISSN: 0021-9045
DOI: 10.1016/0021-9045(76)90035-6