Diophantine inequality involving binary forms
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DOI: 10.1007/s11464-017-0602-y
Abstract: AbstractLet d ⩾ 3 be an integer, and set r = 2d−1 + 1 for 3 ⩽ d ⩽ 4, $$\tfrac{{17}} {{32}} \cdot 2^d + 1$$1732⋅2d+1 for 5 ⩽ d ⩽ 6, r = d2+d+1… read more here.
Keywords: left right; inequality involving; involving binary; diophantine inequality ... See more keywords
A ternary Diophantine inequality involving primes
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DOI: 10.1142/s1793042118501361
Abstract: Let 1 < c < 43 36. In this paper, it is proved that for every sufficiently large real number N, the Diophantine inequality |p1c + p 2c + p 3c − N| < N−… read more here.
Keywords: ternary diophantine; diophantine; inequality involving; diophantine inequality ... See more keywords
CHSH-Type Inequality Involving Commuting Continuous Variables
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DOI: 10.3390/atoms7020046
Abstract: The correlation of projections of the momentum operators of two particles is used to derive a quantum inequality for continuous variables, which must be satisfied by any bipartite system in a pure state. This inequality… read more here.
Keywords: inequality; type inequality; chsh type; involving commuting ... See more keywords
Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder
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DOI: 10.3390/math7080663
Abstract: The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder. Our results improve several results obtained… read more here.
Keywords: majorization inequality; inequality; taylor theorem; theorem mean ... See more keywords