On a q‐Laplace–type integral operator and certain class of series expansion
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6002
Abstract: In this paper, we develop a q‐theory of the q‐Laplace–type integral operators qL2 and ql2 introduced by Uçar and Albayrak in 2011. We derive several identities and establish various results related to the q‐Laplace–type integral… read more here.
Keywords: type integral; series; operator certain; integral operator ... See more keywords
Topological Structures of Generalized Volterra-Type Integral Operators
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DOI: 10.1007/s00009-018-1080-5
Abstract: We study the generalized Volterra-type integral and composition operators acting on the classical Fock spaces. We first characterize various properties of the operators in terms of growth and integrability conditions which are simpler to apply… read more here.
Keywords: structures generalized; type integral; generalized volterra; integral operators ... See more keywords
Dynamics of the Volterra-Type Integral and Differentiation Operators on Generalized Fock Spaces
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DOI: 10.1007/s00025-019-1123-7
Abstract: AbstractVarious dynamical properties of the differentiation and Volterra-type integral operators on generalized Fock spaces are studied. We show that the differentiation operator is always supercyclic on these spaces. We further characterize when it is hypercyclic,… read more here.
Keywords: operators generalized; type integral; generalized fock; differentiation ... See more keywords
A fully discrete Galerkin method for Abel-type integral equations
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DOI: 10.1007/s10444-018-9598-4
Abstract: In this paper, we present a Galerkin method for Abel-type integral equation with a general class of kernel. Stability and quasi-optimal convergence estimates are derived in fractional-order Sobolev norms. The fully-discrete Galerkin method is defined… read more here.
Keywords: type integral; abel type; method abel; method ... See more keywords
On the Solvability of One System of Nonlinear Hammerstein-Type Integral Equations on the Semiaxis
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DOI: 10.1007/s11253-017-1431-6
Abstract: We study the problems of construction of positive summable and bounded solutions for the systems of nonlinear Hammerstein-type integral equations with difference kernels on the semiaxis. These systems have direct applications to the kinetic theory… read more here.
Keywords: solvability one; type integral; integral equations; one system ... See more keywords
Some generalizations and refined Hardy type integral inequalities
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DOI: 10.1007/s13370-016-0461-9
Abstract: In this paper, by using Jensen’s inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved. read more here.
Keywords: type integral; generalizations refined; integral inequalities; refined hardy ... See more keywords
On Fredholm-Type Integral Equations in Topological Hölder Spaces
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DOI: 10.1080/01630563.2021.1952430
Abstract: Abstract Using the technique associated with the classical Schauder fixed point theorem we demonstrate the existence of solutions of a class of quadratic integral equation of Fredholm type in Hölder spaces. Moreover, one useful example… read more here.
Keywords: type integral; lder spaces; equations topological; fredholm type ... See more keywords
Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane
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DOI: 10.1155/2018/2691816
Abstract: By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related… read more here.
Keywords: type integral; hilbert type; integral inequality; function ... See more keywords
Euler-Type Integral Operator Involving S-Function
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DOI: 10.1155/2020/8267638
Abstract: The object of the present paper is to establish some interested theorems on Euler-type integrals involving - function, which is defined by Saxena and Daiya. Further, we reduce some special cases involving various known functions… read more here.
Keywords: type integral; involving function; operator involving; integral operator ... See more keywords
A Hilbert-type integral inequality under configuring free power and its applications
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DOI: 10.1186/s13660-019-2039-1
Abstract: By using the method of weight function, the technique of real analysis, and the theory of special functions, a multi-parameter Hilbert-type integral inequality and its equivalent form are established, and their constant factors are proved… read more here.
Keywords: hilbert type; type integral; inequality configuring; applications hilbert ... See more keywords
Weakly compatible and quasi-contraction results in fuzzy cone metric spaces with application to the Urysohn type integral equations
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DOI: 10.1186/s13662-020-02743-5
Abstract: In this paper, we present some weakly compatible and quasi-contraction results for self-mappings in fuzzy cone metric spaces and prove some coincidence point and common fixed point theorems in the said space. Moreover, we use… read more here.
Keywords: weakly compatible; type integral; compatible quasi; urysohn type ... See more keywords