Results 11 to 20 of about 20,934 (266)
Derivation of bounds of several kinds of operators via (s,m) $(s,m)$-convexity
Advances in Difference Equations, 2020 The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m) $(s,m)$-convex functions in a unified form.
Young Chel Kwun +4 more
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Journal of Mathematical Analysis and Applications, 1999 Let \(f_n(z)= z/(1- z)^{n+ 1}\), \(n\in N_0\), and \(f^{(-1)}_n\) be defined such that \(f_n* f^{-1}_n= {z\over 1-z}\), where \(*\) denotes convolution (Hadamard product). Let \(f\) be analytic in the unit disc \(E\). The authors introduce a new operator \(I_nf= f^{(-1)}_n* f\) which is analogous to one defined by Ruscheweyh.
Inayat Noor, Khalida +1 more
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Operators with an integral reprsentation [PDF]
Proceedings of the American Mathematical Society, 2016 We introduce a fairly large class of bounded linear operators between Banach spaces which admit an integral representation. It turns out that an operator belongs to this class if and only if it factors through a
CILIA, Raffaela Giovanna, Gutierrez JM
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On Integral Operators with Operator-Valued Kernels [PDF]
Journal of Inequalities and Applications, 2010 Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.
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Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus
IEEE Access, 2019 Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity.
Young Chel Kwun +5 more
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Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences
Journal of Function Spaces, 2020 Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions.
Yi Hu +3 more
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Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators
Fractal and Fractional, 2022 This study is built on the relationship between inequality theory and fractional analysis. Thanks to the new fractional operators and based on the proportional Caputo-hybrid operators, integral inequalities containing new approaches are obtained for ...
Mustafa Gürbüz +2 more
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Advanced Engineering Research, 2014 The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak +1 more
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Refinements of Some Integral Inequalities for φ-Convex Functions
Journal of Mathematics, 2020 In this paper, we are interested to deal with unified integral operators for strongly φ-convex function. We will present refinements of bounds of these unified integral operators and use them to get associated results for fractional integral operators ...
Moquddsa Zahra +2 more
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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