Gautschi's double inequality
A Double Inequality for Divided Differences and Some Identities of Psi and Polygamma Functions
... [9] F. Qi and B.-N. Guo, Wendel-Gautschi-Kershaw’s inequalities and sufficient and necessary conditions that a class of functions involving ratio of gamma functions are logarithmically completely monotonic, RGMIA ...
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New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations
... [12] F. Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, Comput. Math. Appl. (2006), accepted. RGMIA Res. Rep. ...
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A New Lower Bound in the Second Kershaw's Double Inequality
... [7] F. Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, Comput. Math. Appl. (2006), accepted. RGMIA Res. Rep. ...
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Social Spending Generosity and Income Inequality: A Dynamic Panel Approach
... income inequality, measured by the Gini coefficient of disposable ...of inequality levels over ...between inequality and the level of economic ...income inequality in this ...income ...
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The Best Bounds in Gautschi-Kershaw Inequalities
... Abstract. By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an ...
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An Optimal Double Inequality between Power Type Heron and Seiffert Means
... Wang, “The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert’s mean,” Journal of Inequalities and Applications, vol.. Chu, “An optimal inequality for pow[r] ...
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the butterfly and the violin the urgency of an appointment: childhood(s), school(s) and inequality
... En los bachilleratos populares, en “la escuela de colores” ya citada, en las aulas que subvierten el orden de lo instituido, los muros escolares son perforados por la(s) cultura(s) y otra temporalidad, por ...
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Some new extensions of Hardy`s inequality
... is the best possible. The prehistory of (1.1) up to the time when Hardy finally proved (1.1) in 1925 in [3] can be found in [6]. After that the inequality has been developed and applied in almost unbelievable ...
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How does Income Inequality Affect Human Development in Pakistan?
... from inequality to growth that deal with lost variable wrong and ...economic inequality, political, human rights, spending on education, generally the level of government transfers, tax rates, efficiency of ...
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Some Inequalities Bounding Certain Ratios of the (p,k)-Gamma Function
... Gautschi, Some elementary inequalities relating to the Gamma and incomplete Gamma function, Journal of Mathematics and Physics, 38(1)(1959), 77-81.. [4] A.[r] ...
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A best possible double inequality between Seiffert and harmonic means
... the double inequality H ( aa + (1 - a ) b , ab + (1 - a ) a ) < P ( a , b ) < H ( ba + (1 - b ) b , bb + (1 - b ) a ) holds for all a , b > 0 with a ≠ b ...
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Examining trends in inequality in the use of reproductive health care services in Ghana and Nigeria
... that inequality increased in case of ante- natal care at private facilities, health worker ’ s assistance during pregnancy outside a facility, antenatal care in government facilities, home births, aspects ...
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Bounds for the Ratio of Two Gamma Functions
... 159 F. Qi, “A double inequality for divided differences and some identities of psi and polygamma func- tions,” RGMIA Research Report Collection, vol. 10, no. 3, article 6, 2007, http://rgmia.org/v10n3.php. ...
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Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function
... For possible applications of the double inequality 2.11 in the theory of approximations, the accuracy of bounds in 2.11 for the arc tangent function is described by Figures 1 and 2.... J[r] ...
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Financial Numerical Recipes in C++ pdf
... An option will only be used if it is valuable to the option holder. In the case of a call option, this is when the exercise price K is lower than the price one alternatively could buy the underlying security for, which ...
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Some Equivalent Forms of Bernoulli’s Inequality: A Survey
... Bernoulli’s inequality is one of the most distinguished ...Bernoulli’s inequality via the dense concept is ...Bernoulli’s inequality are ...this inequality and other known inequalities are ...
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Remainder Linear Systematic Sampling with Multiple Random Starts
... Gautschi(1957) proposed LSS with multiple random starts aiming at providing an un- biased estimator for the systematic sampling variance. According to this approach, in order to select a systematic sample of size ...
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Concentration Inequalities of Random Matrices and Solving Ptychography with a Convex Relaxation
... In this section, we summarize the major matrix concentration inequalities obtained based on Lieb’s theorem. The first set of results contains the large deviation probabili- ties for a sum of independent self-adjoint ...
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A Framework for Proving Hilbert's Double Integral Inequality and Related Results
... The classical results above have been greatly generalized in recent decades [1], [6]. The approach presented here may not be capable of proving such generalizations. It does, however, seem conducive to generating some ...
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An Optimal Double Inequality for Means
... Chen, “The monotonicity of the ratio between generalized logarithmic means,” Journal of Mathematical Analysis and Applications, vol.. Chen, “Refinements, extensions and generalizations o[r] ...
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