Results 1 to 10 of about 2,146,795 (300)

On Partial Sum of Tribonacci Numbers [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2015
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

open access: yesAnnals of Probability, 2014
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

open access: yesOpen Mathematics
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

open access: yesRemote Sensing, 2019
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]

open access: yesSahand Communications in Mathematical Analysis, 2020
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

open access: yesMathematics, 2023
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

open access: yesMathematics, 2022
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

Fractional Calculus and Confluent Hypergeometric Function Applied in the Study of Subclasses of Analytic Functions

open access: yesMathematics, 2022
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]

open access: yesQuantum, 2021
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

Subclasses of Uniformly Convex Functions with Negative Coefficients Based on Deniz–Özkan Differential Operator

open access: yesAxioms, 2022
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

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