Results 91 to 100 of about 491,225 (282)
Functional inequalities involving special functions II
The author [J. Math. Anal. Appl. 319, No. 2, 450--459 (2006; Zbl 1091.33002)] has shown for the ratio \(m(s) = F(a,b,a+b,1-r^2)/F(a,b,a+b,r^2)\) of hypergeometric functions, \[ \sqrt{(m(r)m(s))} \leq m(\sqrt{(rs))}, \quad a, b > 0,\quad r, s\in (0,1).
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Contrasting roles of school and public libraries in lower primary pupils' reading
Abstract Libraries represent an important institutional component of children's reading socialisation, yet their role is often treated as uniform despite substantial differences between school and public libraries. This study examines how visits to school and public libraries relate to pupils' reading attitudes, practices and self‐assessed reading ...
Kateřina Balcarová, Jiří Balcar
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Abstract As England embarks on its first comprehensive curriculum review in fifteen years, this paper offers critical insights from schools that sustained arts‐rich provision despite a policy landscape hostile to creative subjects. Drawing on data from the Researching Arts‐rich Primary Schools (RAPS) project—a mixed‐methods study of 76 arts‐rich ...
Pat Thomson, Christine Hall
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Based on generalized Wirtinger's inequality, periods of periodic solutions of the nonautonomous differential equations with variable delays are investigated.
Xin-Ge Liu, Mei-Lan Tang
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Spectral and functional inequalities on antisymmetric functions
We obtain a number of spectral and functional inequalities related to Schrödinger operators defined on antisymmetric functions. Among them are Lieb - Thirring and CLR inequalities. Besides, we find new constants for the Sobolev and the Gagliardo - Nirenberg inequalities restricted to antisymmetric functions.
Laptev, A. A., Shcherbakov, I. A.
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The impacts of biological invasions
ABSTRACT The Anthropocene is characterised by a continuous human‐mediated reshuffling of the distributions of species globally. Both intentional and unintentional introductions have resulted in numerous species being translocated beyond their native ranges, often leading to their establishment and subsequent spread – a process referred to as biological
Phillip J. Haubrock +42 more
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Bell’s stated assumptions in deriving his inequality were sufficient conditions. It is shown that a far simpler condition exists for derivation of the inequality: the mere existence of finite data sets regardless of their statistical or deterministic ...
Sica Louis
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ON FUNCTIONAL INEQUALITIES FORTHE PSI FUNCTION
In this note we study the monotonicity of the function $x\mapsto (1 +bx)^a/ (1 + ax)^b$. We also give the several inequalities involving the psi function, whic is the logarithmic derivative of the gamma function.
Bhayo, B. A., Xie, L., Yar, Ş. Yildiz
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ABSTRACT The apparel industry is one of the world's most profitable sectors but also among the most environmentally damaging. Growing sustainability pressures have led companies to adopt diverse strategies to reduce their impact, yet no single study has systematically analysed these approaches or their consumer implications.
Maria Leonor Ferreira +1 more
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On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates
In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
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