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
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
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 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
Estimates of certain paraxial diffraction integral operator and its generalized properties
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DOI: 10.1186/s13662-020-02859-8
Abstract: This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of this paper, we propose a convolution formula and establish certain convolution theorem.… read more here.
Keywords: diffraction integral; paraxial diffraction; certain paraxial; integral operator ... See more keywords
Some new extensions for fractional integral operator having exponential in the kernel and their applications in physical systems
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DOI: 10.1515/phys-2020-0114
Abstract: Abstract The key purpose of this study is to suggest a new fractional extension of Hermite–Hadamard, Hermite–Hadamard–Fejér and Pachpatte-type inequalities for harmonically convex functions with exponential in the kernel. Taking into account the new operator,… read more here.
Keywords: new extensions; integral operator; extensions fractional; exponential kernel ... See more keywords
Study of new class of q-fractional integral operator
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DOI: 10.2298/fil1917713m
Abstract: In this paper, we study on the new class of q-fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied tp f(t) in these integrals and a new… read more here.
Keywords: new class; class fractional; integral operator; operator ... See more keywords