A STUDY ON ALMOST INCREASING SEQUENCES

HÜSEYIN BOR

DEPARTMENT OF MATHEMATICS,
ERCIYES UNIVERSITY,
38039 KAYSERI, TURKEY.
E-Mail: bor@erciyes.edu.tr
URL: http://math.erciyes.edu.tr/hbor.htm

Received 10 July, 2003; Accepted 18 August, 2003.
Communicated by: L. Leindler

ABSTRACT.    In this paper by using an almost increasing sequence a general theorem on summability factors, which generalizes some known results, has been proved under weaker conditions. Key words: Absolute summability, Almost increasing sequences. 2000 Mathematics Subject Classification: 40D15, 40F05, 40G05.

Other papers in this issue

Rational Identities and Inequalities involving Fibonacci and Lucas Numbers
José Luis Díaz-Barrero

On a q-Analogue of Sándor's Function
C. Adiga, T. Kim, D. D. Somashekara and Syeda Noor Fathima

Beurling Vectors of Quasielliptic Systems of Differential Operators
Rachid Chaili

Some Estimations for the Integral Taylor's Remainder
Lazhar Bougoffa

Some Companions of the Grüss Inequality in Inner Product Spaces
S.S. Dragomir

Interpolation Functions of Several Matrix Variables
Y. Ameur

On Grüss Type Inequalities of Dragomir and Fedotov
J.E. Pecaric and B. Tepes

Iterative Solution of Nonlinear Equations of Hammerstein Type
H. Zegeye

An Entropy Power Inequality for the Binomial Family
Peter Harremoës and Christophe Vignat

On Hardy-Hilbert's Integral Inequality with Parameters
Leping He, Mingzhe Gao and Weijian Jia

Generalized Inequalities for Indefinite Forms
Fathi B. Saidi

Some Remarks on Lower Bounds of Chebyshev's Type for Half-lines
F.D. Lesley and V.I. Rotar

A Study on Almost Increasing Sequences
Hüseyin Bor

Asymptotic Behaviour of Some Equations in Orlicz Spaces
D. Meskine and A. Elmahi

Generalization of a Result for Cosine Series on the L¹ Norm
József Németh

On Integral Forms of Generalised Mathieu Series
P. Cerone and C.T. Lenard

Ostrowski-Grüss type Inequalities in Two Dimensions
Nenad Ujevic

Convex Functions in a Half-plane
Nicolae N. Pascu and Nicolae R. Pascu

Some Hardy Type Inequalities in the Heisenberg Group
Yazhou Han and Pengcheng Niu

On the Stability of A Class of Functional Equations
Belaid Bouikhalene

Kantorovich Type Inequalities for $1 > p > 0$
Mariko Giga

Linear Elliptic Equations and Gauss Measure
G. di Blasio

A Note on Integral Inequalities and Embeddings of Besov Spaces
Moritz Kassmann

New Weighted Multivariate Grüss Type Inequalities
B.G. Pachpatte

Corrigendum on the paper: 'Lower Bounds for the Infimum of the Spectrum of the Schrõdinger Operator in RN and the Sobolev Inequalities' published in JIPAM, vol. 3, no. 4. (2002), Article 63
E.J.M. Veling

Other issues

• Volume 1, Issue 1, 2000

• Volume 1, Issue 2, 2000

• Volume 2, Issue 1, 2001

• Volume 2, Issue 2, 2001

• Volume 2, Issue 3, 2001

• Volume 3, Issue 1, 2002

• Volume 3, Issue 2, 2002

• Volume 3, Issue 3, 2002

• Volume 3, Issue 4, 2002

• Volume 3, Issue 5, 2002

• Volume 4, Issue 1, 2003

• Volume 4, Issue 2, 2003

• Volume 4, Issue 3, 2003

• Volume 4, Issue 4, 2003

• Volume 4, Issue 5, 2003