scholarly journals A new application of certain generalized power increasing sequences

Filomat ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 871-879 ◽  
Author(s):  
Hüseyin Bor ◽  
H.M. Srivastava ◽  
Waadallah Sulaiman
Keyword(s):  
Exceptional Case ◽  
Main Result Theorem ◽  
Special Cases ◽  
Power Increasing Sequences ◽  
Result Theorem ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence ◽  
Two Parameter

The main object of this paper is to prove two general theorems by using a two-parameter quasi- f (?,?) -power increasing sequence instead of a quasi-?-power increasing sequence. The first result (Theorem 2.1) in this paper covers the case when 0 < ? < 1 and ? = 0. The second main result (Theorem 2.3) in this paper covers the exceptional case when ? = 1 and ? 5 0. Each of these theorems also includes several new or known results as their special cases and consequences.

Corrigendum: Spectral properties of two parameter eigenvalue problems II

1990 ◽  
Vol 115 (1-2) ◽  
pp. 87-90 ◽  
Author(s):  
Paul Binding ◽  
Patrick J. Browne ◽  
R. H. Picard
Keyword(s):  
Spectral Properties ◽  
Eigenvalue Problems ◽  
Main Result Theorem ◽  
Result Theorem ◽  
Two Parameter

SynopsisThere are some mistakes in [1, Section 4], and since the main result, Theorem 4.4, is central to the theory and has already been applied in various contexts, we felt it advisable to give a complete statement and proof. The applications of vTheorem 4.4 made to date have fortunately been in situations where the results are correct. For convenience, we restate our notation.

scholarly journals Power Increasing Sequences and Their Some New Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Summability Factors ◽  
Power Increasing Sequences ◽  
New Applications ◽  
Weaker Conditions ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence

In the work of Bor (2008), we have proved a result dealing with summability factors by using a quasi--power increasing sequence. In this paper, we prove that result under less and more weaker conditions. Some new results have also been obtained.

scholarly journals Generalized quasi power increasing sequences and their some new applications

Filomat ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 153-157
Author(s):  
Hüseyin Bora
Keyword(s):  
General Class ◽  
Power Increasing Sequences ◽  
New Applications ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence

In this paper, we generalize a known theorem by using a general class of power increasing sequences instead of a quasi-?-power increasing sequence. This theorem also includes some known and new results.

scholarly journals A new theorem on the absolute Riesz summability factors

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1537-1541 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
General Class ◽  
Summability Factors ◽  
Riesz Summability ◽  
Absolute Riesz Summability ◽  
Power Increasing Sequences ◽  
The Absolute ◽  
Increasing Sequences ◽  
Quasi Power Increasing Sequence

In [5], we proved a main theorem dealing with absolute Riesz summability factors of infinite series using a quasi-?-power increasing sequence. In this paper, we generalize that theorem by using a general class of power increasing sequences instead of a quasi-?-power increasing sequence. This theorem also includes some new and known results.

A new application of quasi monotone sequences and quasi power increasing sequences to factored infinite series

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5105-5109
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
Monotone Sequences ◽  
Power Increasing Sequences ◽  
Weaker Conditions ◽  
Increasing Sequences

In this paper, we generalize a known theorem under more weaker conditions dealing with the generalized absolute Ces?ro summability factors of infinite series by using quasi monotone sequences and quasi power increasing sequences. This theorem also includes some new results.

scholarly journals A note on the paper "Optimality conditions for nonsmooth interval-valued and multiobjective semi-infinite programming"

2020 ◽  
Author(s):  
Nazih Abderrazzak Gadhi ◽  
Aissam Ichatouhane
Keyword(s):  
Optimality Conditions ◽  
Programming Problem ◽  
Optimality Condition ◽  
Short Proof ◽  
Necessary Optimality Condition ◽  
Main Result Theorem ◽  
Correct Formulation ◽  
Result Theorem ◽  
Infinite Programming ◽  
Interval Valued

A nonsmooth semi-infinite interval-valued vector programming problem is solved in the paper by Jennane et all. (RAIRO-Oper. Res. doi: 10.1051/ro/2020066, 2020). The necessary optimality condition obtained by the authors, as well as its proof, is false. Some counterexamples are given to refute some results on which the main result (Theorem 4.5) is based. For the convinience of the reader, we correct the faulty in those results, propose a correct formulation of Theorem 4.5 and give also a short proof.

Closure Theorem for Analytic Subgroups of Real Lie Groups

1976 ◽  
Vol 19 (4) ◽  
pp. 435-439 ◽  
Author(s):  
D. Ž. Djoković
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Closed Subgroup ◽  
Main Result Theorem ◽  
Closure Theorem ◽  
Result Theorem ◽  
Analytic Subgroup

Let G be a real Lie group, A a closed subgroup of G and B an analytic subgroup of G. Assume that B normalizes A and that AB is closed in G. Then our main result (Theorem 1) asserts that .This result generalizes Lemma 2 in the paper [4], G. Hochschild has pointed out to me that the proof of that lemma given in [4] is not complete but that it can be easily completed.

scholarly journals Moffatt-type flows in a trihedral cone

2013 ◽  
Vol 725 ◽  
pp. 446-461 ◽  
Author(s):  
Julian F. Scott
Keyword(s):  
Linear Combination ◽  
Particle Motion ◽  
Particle Trajectory ◽  
Three Dimensional ◽  
Parameter Family ◽  
The Other ◽  
Transient Phase ◽  
Primary Flow ◽  
Special Cases ◽  
Two Parameter

AbstractThe three-dimensional analogue of Moffatt eddies is derived for a corner formed by the intersection of three orthogonal planes. The complex exponents of the first few modes are determined and the flows resulting from the primary modes (those which decay least rapidly as the apex is approached and, hence, should dominate the near-apex flow) examined in detail. There are two independent primary modes, one symmetric, the other antisymmetric, with respect to reflection in one of the symmetry planes of the cone. Any linear combination of these modes yields a possible primary flow. Thus, there is not one, but a two-parameter family of such flows. The particle-trajectory equations are integrated numerically to determine the streamlines of primary flows. Three special cases in which the flow is antisymmetric under reflection lead to closed streamlines. However, for all other cases, the streamlines are not closed and quasi-periodic limiting trajectories are approached when the trajectory equations are integrated either forwards or backwards in time. A generic streamline follows the backward-time trajectory in from infinity, undergoes a transient phase in which particle motion is no longer quasi-periodic, before being thrown back out to infinity along the forward-time trajectory.

scholarly journals On a family of prior distributions for a class of Bayesian search models

1993 ◽  
Vol 25 (03) ◽  
pp. 714-716
Author(s):  
K. D. Glazebrook
Keyword(s):  
Conjugate Prior ◽  
Prior Distributions ◽  
Search Models ◽  
New Family ◽  
Special Cases ◽  
The Family ◽  
The One ◽  
Two Parameters ◽  
Two Parameter ◽  
Conjugate Prior Distributions

We propose a two-parameter family of conjugate prior distributions for the number of undiscovered objects in a class of Bayesian search models. The family contains the one-parameter Euler and Heine families as special cases. The two parameters may be interpreted respectively as an overall success rate and a rate of depletion of the source of objects. The new family gives enhanced flexibility in modelling.

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