the second Kershaw's double inequality
New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations
... Remark 1. Since I(a, b) < A(a, b) for positive numbers a and b with a 6= b, in- equality (9) refines the right hand side inequalities in (5) and (8). This means that Theorem 1 refines, extends and generalizes the ...
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A New Lower Bound in the Second Kershaw's Double Inequality
... < s < 1, x ≥ 1, Γ is the classical Euler’s gamma function, and ψ is the logarithmic derivative of ...and second Kershaw’s double inequality ...two double inequalities and their ...
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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality
... [26] 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. (2007), in press. RGMIA Res. Rep. ...
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Refinements, Extensions and Generalizations of the Second Kershaw's Double Inequality
... There have been a lot of literature about these two double inequalities and their history, background, refinements, extensions, generalizations and applications. For more information, please refer to [5, 7, 9, 10, ...
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The Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities
... AGM inequality has received much atten- tion and has been applied in the areas of statistics and ...AGM inequality was first introduced by Lagrange (as cited in ...AGM inequality has used to ...
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On Minkowski's inequality and its application
... 2000 Mathematics Subject Classification: 52A30, 52A40, 26D15 Keywords: Minkowski?’?s inequality, H?ö?lder?’?s inequality, Brunn-Minkowski inequality, dual mixed volume.. 1 Improvement of[r] ...
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Women, Work, and Inequality in the U.S.: Revising the Second Shift
... The Second Shift, was the influx of womenjoining the paid labor force after the 1960s andher own personal experienceas a working ...a second shift at ...a second shift at home constrained their time ...
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On Hilbert's Inequality for Double Series and Its Applications
... the second term of the left-hand side of ...new inequality established is significant in theory and applications; and as applications, we will give both extensions and refinements on Fejer-Riesz’s ...
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Eigenvalue problems associated with Korn's inequalities in the theory of elasticity
... then uses Korn 1 s inequality in the second case to prove the existence of a solution of the traction boundary-value problem of linear anisotropic elastostatics, and he also treats the m[r] ...
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GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS
... Cebysev inequality for double integrals, please see ([7], [8], [11] ...type inequality for double integrals using the probability density ...type inequality similar to this ...
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An Ostrowski Type Inequality for Weighted Mappings with Bounded Second Derivatives
... A weighted integral inequality of Ostrowski type for mappings whose second derivatives are bounded is proved.. The inequality is extended to account for applications in numerical integra[r] ...
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the butterfly and the violin the urgency of an appointment: childhood(s), school(s) and inequality
... This paper presents a political and pedagogical reflection on the education of the working- class childhoods. Part of its content refers to a research work which tries to comprehend if, in Argentina, state schools ...
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A Double-Weighted Refinement of Jensen's Inequality with Applications
... International Journal of Mathematical Education in Science and Technology 1991; 22 :326-328..[r] ...
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On the Generalized Ostrowski Type Integral Inequality for Double Integrals
... In [3], the inequality (1.2) is established by the use of integral identity involving Peano kernels. In [7], Pachpatte obtained an inequality in the view (1.2) by using elementary analysis. The interested ...
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A Double Inequality for the Ratio of Two Consecutive Bernoulli Numbers
... In Section 2, we will analyze the approximating accuracy of the double inequal- ity (1.3). Hereafter, we will give a concise proof of the double inequality (1.3) in Section 3. Finally, in Section 4, ...
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Proof of an open inequality with double power exponential functions
... the inequality a (2b) x + b (2a) x ≤ 1 with double power-exponential functions holds for all nonnegative real numbers a, b with a + b = 1 and all x ≥ ...
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Sociological and Economic Inequality and the Second Law
... It seems that this distribution fits well many observed distributions such as the distribution of economic wealth. The uneven distribution of wealth is attributed today to mechanisms of "the riches get richer". ...
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A General Ostrowski Type Inequality for Double Integrals
... Here, the constant 1 4 is sharp in the sense that it cannot be replaced by a smaller constant. We also observe that the tightest bound is obtained at x = a+b 2 , resulting in the well-known mid-point inequality. ...
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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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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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