Schauder-type expansions of continuous functions on the unit interval
نویسندگان
چکیده
منابع مشابه
On the unconditional convergence of wavelet expansions for continuous functions
In this paper, we study the unconditional convergence of wavelet expansions with Lipschitz wavelets. Especially with the Strömberg wavelet, we shall construct a counter example which shows that uniformly convergent wavelet expansions even for continuous functions do not always converge unconditionally in L∞(R). KeywordsUnconditional Convergence, Wavelet Expansion, Strömberg Wavelet. AMS Mathema...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Algebraic operations on the space of Hausdorff continuous interval functions
We show that the operations addition and multiplication on the set C(Ω) of all real continuous functions on Ω ⊆ Rn can be extended to the set H(Ω) of all Hausdorff continuous interval functions on Ω in such a way that the algebraic structure of C(Ω) is preserved, namely, H(Ω) is a commutative ring with identity. The operations on H(Ω) are defined in three different but equivalent ways. This all...
متن کاملThe ring of real-continuous functions on a topoframe
A topoframe, denoted by $L_{ tau}$, is a pair $(L, tau)$ consisting of a frame $L$ and a subframe $ tau $ all of whose elements are complementary elements in $L$. In this paper, we define and study the notions of a $tau $-real-continuous function on a frame $L$ and the set of real continuous functions $mathcal{R}L_tau $ as an $f$-ring. We show that $mathcal{R}L_{ tau}$ is actually a generali...
متن کاملKernel-type density estimation on the unit interval
We consider kernel-type methods for estimation of a density on [0, 1] which eschew explicit boundary correction. Our starting point is the successful implementation of beta kernel density estimators of Chen (1999). We propose and investigate two alternatives. For the first, we reverse the roles of estimation point x and datapoint Xi in each summand of the estimator. For the second, we provide k...
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)90006-x