Results 1 to 10 of about 2,146,795 (300)
On Partial Sum of Tribonacci Numbers [PDF]
We study the sum st(k,r)=∑i=0tTki+r of k step apart Tribonacci numbers for any 1≤r≤k. We prove that st(k,r) satisfies certain Tribonacci rule st(k,r)=akst-1(k,r)+bkst-2(k,r)+st-3(k,r)+λ with integers ak,bk,ck, and λ.
Eunmi Choi, Jiin Jo
doaj +3 more sources
Cluster sets for partial sums and partial sum processes
Published in at http://dx.doi.org/10.1214/12-AOP827 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Uwe Einmahl
exaly +6 more sources
A new extended Mulholland's inequality involving one partial sum
By using the weight coefficients and the techniques of real analysis, a new extended Mulholland’s inequality with multi-parameters involving one partial sum is given. The equivalent statements of the best value related to several parameters are provided.
Peng Ling, Yang Bicheng
doaj +2 more sources
Infrared Small Target Detection Based on Partial Sum of the Tensor Nuclear Norm
Excellent performance, real time and strong robustness are three vital requirements for infrared small target detection. Unfortunately, many current state-of-the-art methods merely achieve one of the expectations when coping with highly complex scenes ...
Landan Zhang, Zhenming Peng
doaj +3 more sources
Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative [PDF]
In this paper, by making use of $(p , q) $-derivative operator we introduce a new subclass of meromorphically univalent functions. Precisely, we give a necessary and sufficient coefficient condition for functions in this class.
Mohammad Hassan Golmohammadi +2 more
doaj +1 more source
A Weighted Generalization of Hardy–Hilbert-Type Inequality Involving Two Partial Sums
In this paper, we address Hardy–Hilbert-type inequality by virtue of constructing weight coefficients and introducing parameters. By using the Euler–Maclaurin summation formula, Abel’s partial summation formula, and differential mean value theorem, a new
Bicheng Yang, Shanhe Wu
doaj +1 more source
A Reverse Hardy–Hilbert’s Inequality Containing Multiple Parameters and One Partial Sum
In this work, by introducing multiple parameters and utilizing the Euler–Maclaurin summation formula and Abel’s partial summation formula, we first establish a reverse Hardy–Hilbert’s inequality containing one partial sum as the terms of double series ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
doaj +1 more source
The study done for obtaining the original results of this paper involves the fractional integral of the confluent hypergeometric function and presents its new applications for introducing a certain subclass of analytic functions. Conditions for functions
Alina Alb Lupaş, Georgia Irina Oros
doaj +1 more source
Partially Coherent Direct Sum Channels [PDF]
We introduce Partially Coherent Direct Sum (PCDS) quantum channels, as a generalization of the already known Direct Sum quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are degradable, and provide a simplified expression for their quantum capacities.
Stefano Chessa, Vittorio Giovannetti
openaire +6 more sources
We introduce in this paper a new family of uniformly convex functions related to the Deniz–Özkan differential operator. By using this family of functions with a negative coefficient, we obtain coefficient estimates, the radius of starlikeness, convexity,
Erhan Deniz +2 more
doaj +1 more source

