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On integral inequalities associated with a linear operator equation [PDF]
Proceedings of the American Mathematical Society, 1984 In this paper we apply control theoretic concepts to formulate and solve a generalized problem for the determination of best possible constants in integral inequalities. We investigate the problem of existence of functions for which the best constant is attained, and also the conditions satisfied by these functions.
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On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
Journal of Mathematical and Fundamental Sciences, 2017 In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator,
Khalid Challab +2 more
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Journal of Function Spaces, 2021 The main object of the present paper is to introduce certain subclass of m-valent functions associated with a new extended Ruscheweyh linear operator in the open unit disk.
Amnah E. Shammaky, Tamer M. Seoudy
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Journal of Inequalities and Applications, 2016 By applying some Schrödinger-type inequalities developed by Huang (Int. J. Math. 27(2):1650009, 2016), we are concerned with stabilization of discrete linear systems associated with the Schrödinger operator.
Zongcai Jiang
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An Operator Extension of Čebyšev Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza +2 more
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Optimal exponents for Hardy–Littlewood inequalities for m-linear operators
Linear Algebra and its Applications, 2017 20 ...
Aron, R. M. +3 more
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More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces
Abstract and Applied Analysis, 2012 We study some properties of (𝛼,𝛽)-normal operators and we present various inequalities between the operator norm and the numerical radius of (𝛼,𝛽)-normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators 𝑇∶ℋ→ℋ, where ℋ is Hilbert space.
Rasoul Eskandari +2 more
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More on Inequalities for Weaving Frames in Hilbert Spaces
Mathematics, 2019 In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers ...
Zhong-Qi Xiang
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On Two Extensions of Hilbert’s Integral Inequality
Journal of Mathematical Extension, 2012 . The norm of a Hilbert’s type linear operator T : L 2 (0,∞) → L 2 (0,∞) is given. By introducing some parameters, we give the norms of two extensions of Hilbert’s integral operator.
Z. Jokar
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Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces
Annales Mathematicae Silesianae, 2020 In this paper we consider the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces.
Dragomir Silvestru Sever
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