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On Some Metric Inequalities and Applications
Published 2020-01-01“…We derive a new inequality in metric spaces and provide its geometric interpretation. …”
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Antieigenvalue inequalities in operator theory
Published 2004-01-01“…We will prove some inequalities among trigonometric quantities of two and three operators. …”
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Chebyshev inequalities for unimodal distributions
Published 2023-09-01Subjects: “…Chebyshev inequalities…”
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On a Diophantine Inequality with s Primes
Published 2021-01-01“…In this study, for prime numbers p1,…,ps and a sufficiently large real number N, we prove the Diophantine inequality p1c+⋯+psc−N<N−9/10cδ−c, where δ=294−210s/123−97s and s≥5. …”
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The Kubilius inequality in the polynomial semigroup
Published 2024-05-01“… Let P be a set of primary irreducible polynomials and Qm = {p + 1; p ∈ P , ∂(p) = m}. Kubilius inequality for additive functions f : Qm → C is proved. …”
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On Hölder and Minkowski Type Inequalities
Published 2014-01-01“…We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.…”
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Refinements of Generalized Hölder’s Inequalities
Published 2014-01-01“…We present some new versions of generalized Hölder’s inequalities. …”
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Weighted norm inequalities and indices
Published 2006-01-01“…We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. …”
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Some Inequalities for the Derivative of Polynomials
Published 2014-01-01“…In this paper, we consider a class of polynomial Pnμ of degree n, defined as pz=a0+∑υ=μnaυzυ and present certain generalizations of above inequality and some other well-known results.…”
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Poverty and inequality in rural India
Published 2015-07-01Subjects: “…Key words: India; agriculture; agrarian system; poverty; inequality…”
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On an Inequality of Diananda—Part IV
Published 2009-01-01“…We extend the results in parts I–III on certain inequalities involving the weighted power means as well as the symmetric means. …”
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On some extensions of Hardy’s inequality
Published 1985-01-01Subjects: “…inequalities.…”
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On an inequality of Diananda. Part II
Published 2005-01-01“…We extend the result in part I, 2003, of certain inequalities among the generalized power means.…”
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Stečkin inequalities for summability methods
Published 1997-01-01Subjects: “…Stečkin inequality…”
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Extensions of the Heisenberg-Weyl inequality
Published 1986-01-01Subjects: “…uncertainty inequality…”
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