Singular value inequalities and applications
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DOI: 10.1007/s11117-020-00790-6
Abstract: It is shown among other inequalities that if A, B and X are $$n\times n$$ complex matrices such that A and B are positive semidefinite, then $$s_{j}(AX-XB)\le $$ $$s_{j}\left( \left( \frac{1}{2}A+\frac{1}{2}A^{1/2}\left| X^{*}\right| ^{2}A^{1/2}\right) \oplus \left( \frac{1}{2}B+\frac{1}{2}… read more here.
Keywords: singular value; inequalities applications; right right; value inequalities ... See more keywords
Some new stochastic forms of Gronwall–Bellman inequalities and their applications
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DOI: 10.1515/rose-2018-0006
Abstract: Abstract In this work, we establish some new forms of stochastic Gronwall–Bellman inequalities. We illustrate our work with examples of applications. read more here.
Keywords: gronwall bellman; new stochastic; inequalities applications; bellman inequalities ... See more keywords
Some Generalizations of the Jensen-Type Inequalities with Applications
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DOI: 10.3390/axioms11050227
Abstract: Motivated by some results about reverses of the Jensen inequality for positive measure, in this paper we give generalizations of those results for real Stieltjes measure dλ which is not necessarily positive using several Green… read more here.
Keywords: type inequalities; inequalities applications; jensen type; generalizations jensen ... See more keywords
On New Estimates of q-Hermite-Hadamard Inequalities with Applications in Quantum Calculus
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DOI: 10.3390/axioms12010049
Abstract: In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established… read more here.
Keywords: hadamard inequalities; new estimates; inequalities applications; hermite hadamard ... See more keywords
On New Generalized Dunkel Type Integral Inequalities with Applications
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DOI: 10.3390/sym13091576
Abstract: In this paper, by applying majorization theory, we study the Schur convexity of functions related to Dunkel integral inequality. We establish some new generalized Dunkel type integral inequalities and their applications to inequality theory. read more here.
Keywords: dunkel type; type integral; inequalities applications; integral inequalities ... See more keywords
On Some Generalizations of Cauchy-Schwarz Inequalities and Their Applications
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DOI: 10.3390/sym15020304
Abstract: The aim of this paper is to provide new upper bounds of ω(T), which denotes the numerical radius of a bounded operator T on a Hilbert space (H,⟨·,·⟩). We show the Aczél inequality in terms… read more here.
Keywords: generalizations cauchy; numerical radius; cauchy schwarz; schwarz inequalities ... See more keywords