Non-Backtracking Random Walks and a Weighted Ihara’s Theorem [PDF]
We study the mixing rate of non-backtracking random walks on graphs by looking at non-backtracking walks as walks on the directed edges of a graph. A result known as Ihara’s Theorem relates the adjacency matrix of a graph to a matrix related to non ...
Kempton, Mark Condie
core +1 more source
A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
core +1 more source
Statistical Convergence via q-Calculus and a Korovkin's Type Approximation Theorem
In this paper, we define and study q-statistical limit point, q-statistical cluster point, q-statistically Cauchy, q-strongly Cesàro and statistically C1q-summable sequences.
Mohammad Ayman Mursaleen +1 more
semanticscholar +1 more source
Approximation by a new sequence of operators involving Laguerre polynomials [PDF]
Thispaper presents a new integral approach for operators using the modified Laguerre polyno-mials and Păltă nea basis function to approximate functions over the interval [0, ∞).
Kapil Kumar, N. Deo, D. Verma
semanticscholar +1 more source
Approximation theory for weighted Sobolev spaces on curves [PDF]
17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana, Domingo +3 more
core +1 more source
Weighted forms of Euler's theorem [PDF]
In answer to a question of Andrews about finding combinatorial proofs of two identities in Ramanujan's “lost” notebook, we obtain weighted forms of Euler's theorem on partitions with odd parts and distinct parts.
Chen, William Y.C., Ji, Kathy Q.
core +1 more source
Weighted generalization of the Ramadanov's theorem and further considerations [PDF]
summary:We study the limit behavior of weighted Bergman kernels on a sequence of domains in a complex space $\mathbb C^N$, and show that under some conditions on domains and weights, weighed Bergman kernels converge uniformly on compact sets.
Wójcicki, Paweł +1 more
core +1 more source
Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
wiley +1 more source
Exponential Kantorovich-Stancu operators
In this paper we will obtain some Bernstein-Kantorovich operators modified in Stancu sense which preserve exponential function eμx, where μ > 0. Concerning these operators we prove they verify Korovkin’s theorem conditions and also that they approximate ...
Stefan Garoiu
semanticscholar +1 more source
Korovkin's Linear operators and Approximation Theory and Sequence of Functions [PDF]
In my project I am doing my work on the Korovkin's theorem and some standard version of Ko- rovkin's theorem and thier applications. The small description of my topic is (1) The section Linear Positive Functional de ned on an existence domain of ...
D, Sukumar, Hatai, Subinoy
core

