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Improvement of Aczél's Inequality and Popoviciu's Inequality

Improvement of Aczél's Inequality and Popoviciu's Inequality

... Acz´el’s inequality has important applications in the theory of functional equations in non-Euclidean ...this inequality has at- tracted the interest of many mathematicians and has motivated a large number ...

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On Carleson’s inequality

On Carleson’s inequality

... Polya–Knopp inequality is a limit version of Hardy’s in- equality and Carleson’s inequality verifies Polya–Knopp inequality as a special case, an inequality verifying Hardy’s inequality ...

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Association of Jensen’s inequality for s convex function with Csiszár divergence

Association of Jensen’s inequality for s convex function with Csiszár divergence

... Jensen’s inequality by using convex func- ...Jensen’s inequality for convex functions in information ...for s-convex functions with several divergences and proposed several applications of Jensen’s ...

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Some Equivalent Forms of Bernoulli’s Inequality: A Survey

Some Equivalent Forms of Bernoulli’s Inequality: A Survey

... It is well-known fact that every convex function on an interval   a b , is continuous; if f is mid-point convex and continuous on an interval I, then it is convex on I. The following Jensen’s inequality can be ...

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On Minkowski's inequality and its application

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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Some new extensions of Hardy`s inequality

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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A sharpened version of Hardy’s inequality for parameter p=5/4

A sharpened version of Hardy’s inequality for parameter p=5/4

... 8. Huang, QL: An extension of a strengthened inequality. J. Guangdong Educ. Inst. 21(2), 17-20 (2001) 9. Yang, BC: On a strengthened version of Hardys inequality. J. Guangdong Educ. Inst. 25(5), 5-8 (2005) ...

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The Choquet integral of log convex functions

The Choquet integral of log convex functions

... Hadamard inequality of the Choquet integral for a monotone log-convex function in the framework of distorted measure by Lemma ...Jensen’s inequality of the Choquet integral for log-convex functions by Lemma ...

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A generalizations of Simpson’s type inequality for differentiable functions using (α,m) convex functions and applications

A generalizations of Simpson’s type inequality for differentiable functions using (α,m) convex functions and applications

... with s-convex functions in second sense and some new results about Hadamard’s inequality for s-convex functions are discussed in [], while on the other hand there are many important inequalities ...

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On Some Inequalities of Symmetric Means and Mixed Means

On Some Inequalities of Symmetric Means and Mixed Means

... We refer the reader to the survey article[2] and the references therein for an account of Ky Fan’s inequality. See also [11]-[16] for recent developments in this subject. Among numerous sharpenings of Ky Fan’s ...

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A new look at classical inequalities involving Banach lattice norms

A new look at classical inequalities involving Banach lattice norms

... reversed inequality of the same general form (see Theorem ...Popoviciu’s inequality in the case of infi- nite interpolation families (see Theorem ...Milne’s inequality is pointed out (see Section ...

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Recent developments of Schwarz's type trace inequalities for operators in Hilbert spaces

Recent developments of Schwarz's type trace inequalities for operators in Hilbert spaces

... Abstract. In this paper, we survey some recent trace inequalities for oper- ators in Hilbert spaces that are connected to Schwarz’s, Buzano’s and Kato’s inequalities and the reverses of Schwarz inequality known in ...

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Poverty, income inequality and unemployment in Spain in the 2008's Financial Crises

Poverty, income inequality and unemployment in Spain in the 2008's Financial Crises

... ❞❡s❝r✐♣t✐✈❡ s✉♠♠❛r② st❛t✐❝s ✇❤✐❝❤ ✉s❡❞ t♦ s❡❡ t❤❡ ❝❤❛♥❣❡ ✐♥ ♣♦✈❡rt② ❛♥❞ ✐♥❡q✉❛❧✐t② ❧❡✈❡❧ ❢r♦♠ ✷✵✵✽ t♦ ✷✵✶✹✳ ❚❛❜❧❡ ✹ ❜❡❧♦✇ s❤♦✇s t❤❡ ♣♦✈❡rt② ❛♥❞ ✐♥❡q✉❛❧✐t② ✐♥❞❡① ✐♥ ✷✵✵✽ ...

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Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy

Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy

... Look for a solution of the recurrence inequality 4.3b of the form s.. Substitution of the inequality 4.5 in the inequality 4.3b.[r] ...

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Hardy type inequalities within fractional derivatives without singular kernel

Hardy type inequalities within fractional derivatives without singular kernel

... This inequality has been generalized and developed by many ...Hardy-type inequality for different fractional derivatives and integrals; see [4–9] and the references ...

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New Inequalities for the Čebyšev Functional Involving Two n-Tuples of Real Numbers and Applications

New Inequalities for the Čebyšev Functional Involving Two n-Tuples of Real Numbers and Applications

... (2000), On a Gr¨ uss- Lupa¸ s type inequality and its application for the es- timation of p − moments of guessing mappings, Math.. (2002), Another Gr¨ uss type inequality for sequences o[r] ...

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Social impacts of mini-grids : towards an evaluation methodology

Social impacts of mini-grids : towards an evaluation methodology

... health benefits as primary drivers for this demand growth. Although most consumers had a low consumption of <250 Wh/day, through a pre-pay model, the majority of customers kept their accounts constantly in credit. ...

6

Trade and Wage Inequality in Developing Countries: South South Trade Matters

Trade and Wage Inequality in Developing Countries: South South Trade Matters

... wage inequality between industries could increase if the industries with the largest tariff cuts are the ones employing a higher share of unskilled workers and if these industries had the lowest wage premiums ...

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Income inequality and financial crises: evidence from the bootstrap rolling window

Income inequality and financial crises: evidence from the bootstrap rolling window

... ’ s reliability; Table 3 presents the parameter stability test ...’ s (1990) LC test for each fully modified ordinary least squares (OLS) equation; the results indicate that the null of the long-run ...

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Common fixed point theorem for two selfmaps of an S-metric space with rational inequality

Common fixed point theorem for two selfmaps of an S-metric space with rational inequality

... Abstract: A common fixed point theorem for two self maps of an S-metric space with rational inequality is proved in the present paper.. Keywords: S-metric space; fixed point; assoc[r] ...

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