integral operator

integral operator

[′int·ə·grəl ′äp·ə‚rād·ər]
(mathematics)
A rule for transforming one function into another function by means of an integral; this often is in context a linear transformation on some vector space of functions.
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Denote by T = A + B the integral operator of equation (1.1) with operators A and B defined by
Fast Solvers of Weakly Singular Integral Equations of the Second Kind
Then [S.sub.[r]] is an integral operator with kernel ([SK.sub.z]) (w) [[chi].sub.r[DELTA]] (z).
Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C
Generalized Fractional Integral Operator. Now, we recall the definition of generalized fractional integral operators involving Fox's H-function as kernel, defined by Saxena and Kumbhat [4] means of the following equations:
Generalized Fractional Integral Operators Involving Mittag-Leffler Function
Ibrahim, "On classes of analytic functions containing generalization of integral operator," Journal of the Indonesian Mathematical Society, vol.
A Note on Caputo's Derivative Operator Interpretation in Economy
In 2007, by involving the general Hurwitz-Lerch Zeta function [PHI](z, s, a), Srivastava and Attiya [7] (also see [8-11]) introduced the integral operator
Certain Integral Operator Related to the Hurwitz-Lerch Zeta Function
Finally, we proceed by establishing some facts concerning the linear Volterra integral operator in [W.sup.1,1.sub.loc].
A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations
The generalized dressing method was based on the problems of factorization of an integral operator F on the line into the product of two Volterra type integral operators [K.sub.[+ or -]], from which the Gel'f and-Levitan-Marchenko (GLM) equation is obtained.
A New Integrable Variable-Coefficient 2 + 1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
(1) An intuitionistic trapezoidal fuzzy aggregation Choquet integral operator is proposed to eliminate the interdependence between attributes.
Intuitionistic Trapezoidal Fuzzy Group Decision-Making Based on Prospect Choquet Integral Operator and Grey Projection Pursuit Dynamic Cluster
Later, the intensive investigations on the results of Liouville by Riemann led to the construction of the Riemann-Liouville fractional integral operator, given by
Theoretical and Numerical Results for Fractional Difference and Differential Equations
In Section 3 we show how the involved integral operator can be described using a tensor product formulation.
SOLUTION OF COUPLED DIFFERENTIAL EQUATIONS ARISING FROM IMBALANCE PROBLEMS
The main purpose of this current note is to introduce a Hypergeometric distribution series in associated with integral operator and obtain necessary and sufficient conditions for this integral related series belonging to the classes and T ( , ) and C( , ) .
AN APPLICATION OF A HYPERGEOMETRIC DISTRIBUTION SERIES ON CERTAIN ANALYTIC FUNCTIONS ASSOCIATEDBWITH INTEGRAL OPERATOR
Suppose that T is a Calderon-Zygmund singular integral operator. Is there a constant c, depending only on T, such that for each [lambda] > 0,
Weighted weak-type inequalities for some fractional integral operators

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