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
Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
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DOI: 10.1007/s00020-020-2564-9
Abstract: We construct inverses of the variational electric field boundary integral operator up to compact perturbations on orientable topologically simple screens. We describe them as solution operators of variational problems set in low-regularity standard trace spaces.… read more here.
Keywords: field; compact equivalent; integral operator; field integral ... See more keywords
Abel’s integral operator: sparse representation based on multiwavelets
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DOI: 10.1007/s10543-020-00832-1
Abstract: In this work, Abel’s integral operator is represented based on Alpert’s multiwavelets as a sparse matrix and then a non-linear Abel’s integral equation of the second kind is solved by multiwavelets Galerkin method. Nonlinearity and… read more here.
Keywords: representation based; integral operator; abel integral; operator sparse ... See more keywords
Chebyshev polynomial bounds for a certain subclass of univalent functions defined by Komatu integral operator
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DOI: 10.1007/s13370-019-00666-3
Abstract: In this work, using the Komatu integral operator, we introduced a new subclass of univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class. read more here.
Keywords: univalent functions; integral operator; chebyshev polynomial; komatu integral ... See more keywords
Application of the integral operator method for multispin correlation function calculations in the one-dimensional Ising model.
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DOI: 10.1103/physreve.109.024133
Abstract: The one-dimensional (1D) Ising model is revisited. The integral operator method is used for the model to derive the general statistical identity for multispin correlation functions. As an application of this identity to generate various… read more here.
Keywords: integral operator; model; one dimensional; operator method ... See more keywords
Continuous Compressed Sensing Hilbert-Schmidt Integral Operator
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DOI: 10.1109/access.2022.3194926
Abstract: Continuous Compressed-Sensing-Karhunen-Loéve Expansion (CS-KLE) has been proposed. Compressed sensing has been proposed as a highly efficient computational method to represent compressible signals using a few numbers of linear functional. On the other hand, KLE is… read more here.
Keywords: sensing hilbert; integral operator; compressed sensing; hilbert schmidt ... See more keywords
Integral Operator-Based Characteristic Mode Theory for Conducting, Material, and Lossy Structures
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DOI: 10.1109/tap.2023.3286039
Abstract: Integral operator-based theory of characteristic modes (CMs) for conducting, material, and lossy structures is reviewed. CMs are defined as solutions of a generalized eigenvalue equation (GEE). These GEEs are presented for various surface and volume… read more here.
Keywords: operator; operator based; integral operator; material lossy ... See more keywords
Inequalities for a Unified Integral Operator via α,m-Convex Functions
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DOI: 10.1155/2020/2345416
Abstract: Recently, a unified integral operator has been introduced by Farid, 2020, which produces several kinds of known fractional and conformable integral operators defined in recent decades (Kwun, 2019, Remarks 6 and 7). The aim of… read more here.
Keywords: operator via; convex functions; integral operator; inequalities unified ... 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
On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals
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DOI: 10.1155/2024/4565581
Abstract: In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss… read more here.
Keywords: operator; differential subordination; fractional integral; integral operator ... See more keywords
On a unified integral operator for φ-convex functions
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DOI: 10.1186/s13662-020-02761-3
Abstract: Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds… read more here.
Keywords: operator convex; convex functions; integral operator; unified integral ... See more keywords