Volume 3,  Issue 3, 2002

Article 47

BOUNDS ON CERTAIN INTEGRAL INEQUALITIES

B.G. PACHPATTE

DEPARTMENT OF MATHEMATICS,
MARATHWADA UNIVERSITY,
AURANGABAD 431 004,
(MAHARASHTRA), INDIA
E-Mail: bgpachpatte@hotmail.com

Received 19 January, 2002; Accepted 16 February, 2002.
Communicated by: D. Bainov

ABSTRACT.   The main objective of this paper is to establish explicit bounds on certain integral inequalities and their discrete analogues which can be used as tools in the study of some classes of integral and sum-difference equations.
Key words:
Integral inequalities, Discrete inequalities, Integral equations, Partial derivatives, Hyperbolic partial integrodifferential equation, Sum-difference equation.

2000 Mathematics Subject Classification:
26D15, 26D20.

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An Inequality Improving the Second Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
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Multivalued Quasi Variational Inequalities in Banach Spaces
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O. Bordelles

Iterated Turan and Laguerre Inequalities
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A Monotonicity Property of Power Means
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Moment Inequalities of a Random Variable Defined over a Finite Interval
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Some Generalized Convolution Properties Associated with Certain Subclasses of Analytic Functions
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Inequalities on Linear Functions and Circular Powers
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Bounding the Maximum Value of the Real-Valued Sequence
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Bounds on Certain Integral Inequalities
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