© 2005 Dr. G. D. HandleyI use novel splittings of conjugate exponents in Holder’s inequality and other techniques to obtain new inequalities of Hilbert, Hilbert-Pachpatte and Hardy type for series and integrals. The Thesis gives far reaching generalisations of the work of Dragomir-Kim (2003), Pachpatte (1987, 1990, 1992),Handley-Koliha-Pecaric (2000), Hwang-Yang (1990), Hwang(1996), Love-Pecaric (1995) and Mohapatra-Russell (1985) and inequalities for fractional derivatives of integrable functions. (For complete abstract open document
Some new Hilbert-Pachpatte discrete inequalities and their integral analogues are established in th...
In the present paper we establish some new inequalities similar to extensions of Hilbert's double-se...
Hilbert-type integral inequalities, including the well known Hilbert's integral inequality published...
We present here very general weighted univariate and multivariate Hilbert-Pachpatte type integral in...
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by intr...
Inverses of some new inequalities similar to Hilbert's inequality are established. Our results provi...
(communicated by Sh. Abramovich) Abstract. New inequalities concerning functions of the form f (xy) ...
In 1998, two new inequalities similar to Hilbert integral inequality were given by B.G.Pachpatte. Th...
Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical anal...
It is well-known that the Hilbert double series inequality plays an important role in mathematical a...
This book is aimed toward graduate students and researchers in mathematics, physics and engineering ...
Here we present Hilfer-Polya, ψ -Hilfer Ostrowski and ψ -Hilfer-Hilbert-Pachpatte types fractional i...
In this paper, we obtain an extension of a multivariable integral inequality of Hilbert-Pachpatte ty...
Abstract: By introducing two functions u(x) and v(x), we give a new Hardy-Hilbert type inequality, w...
Abstract. The aim of this paper is to establish several new fractional integral and deriva-tive ineq...
Some new Hilbert-Pachpatte discrete inequalities and their integral analogues are established in th...
In the present paper we establish some new inequalities similar to extensions of Hilbert's double-se...
Hilbert-type integral inequalities, including the well known Hilbert's integral inequality published...
We present here very general weighted univariate and multivariate Hilbert-Pachpatte type integral in...
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by intr...
Inverses of some new inequalities similar to Hilbert's inequality are established. Our results provi...
(communicated by Sh. Abramovich) Abstract. New inequalities concerning functions of the form f (xy) ...
In 1998, two new inequalities similar to Hilbert integral inequality were given by B.G.Pachpatte. Th...
Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical anal...
It is well-known that the Hilbert double series inequality plays an important role in mathematical a...
This book is aimed toward graduate students and researchers in mathematics, physics and engineering ...
Here we present Hilfer-Polya, ψ -Hilfer Ostrowski and ψ -Hilfer-Hilbert-Pachpatte types fractional i...
In this paper, we obtain an extension of a multivariable integral inequality of Hilbert-Pachpatte ty...
Abstract: By introducing two functions u(x) and v(x), we give a new Hardy-Hilbert type inequality, w...
Abstract. The aim of this paper is to establish several new fractional integral and deriva-tive ineq...
Some new Hilbert-Pachpatte discrete inequalities and their integral analogues are established in th...
In the present paper we establish some new inequalities similar to extensions of Hilbert's double-se...
Hilbert-type integral inequalities, including the well known Hilbert's integral inequality published...