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symmetric functions

Weighted f-Gini Mean Difference for Convex and Symmetric Functions in Linear Spaces

Weighted f-Gini Mean Difference for Convex and Symmetric Functions in Linear Spaces

... In this paper, motivated by the above results, we introduce the more general concept of weighted f Gini mean di¤ erence for convex and symmetric functions in linear spaces.. Moreover, we[r] ...

12

Lax operator for Macdonald symmetric functions

Lax operator for Macdonald symmetric functions

... In this article we generally keep to the notation of the book [9] for symmetric functions. When using results from [9] we simply indicate their numbers within the book. For example, the statement (2.15) ...

15

Schur convexity of dual form of some symmetric functions

Schur convexity of dual form of some symmetric functions

... Abstract By the properties of a Schur-convex function, Schur-convexity of the dual form of some symmetric functions is simply proved.. MSC: Primary 26D15; 05E05; 26B25 Keywords: majoriza[r] ...

9

A graphical calculus for shifted symmetric functions

A graphical calculus for shifted symmetric functions

... of symmetric groups to construct a C -algebra known as the Farahat-Higman algebra F H C (see also Example 24, Section ...shifted symmetric functions in the previous sections could be rephrased in the ...

61

Schur convexity for the ratios of the Hamy and generalized Hamy symmetric functions

Schur convexity for the ratios of the Hamy and generalized Hamy symmetric functions

... In this paper, we present the Schur convexity and monotonicity properties for the ratios of the Hamy and generalized Hamy symmetric functions and establish some analytic inequalities. The achieved results ...

8

Symmetric functions of two noncommuting variables

Symmetric functions of two noncommuting variables

... in noncommuting variables z, w cannot be written as p(z + w, zw + wz) for any polyno- mial p; M. Wolf showed in 1936 [11] that there is no finite basis for the ring of symmetric noncommuting polynomials over C . ...

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Minkowski type inequalities involving Hardy function and symmetric functions

Minkowski type inequalities involving Hardy function and symmetric functions

... the symmetric polynomial and certain symmetric functions can be expressed by the Hardy function (see [] and Remark ), and that the interpolating quasi- polynomial can be expressed by the ...

17

Symmetric functions and infinite
dimensional algebras

Symmetric functions and infinite dimensional algebras

... Central to the development of the results in this chapter is the concept of the boson{ fermion (B-F) correspondence 218], and its relationship to the theory of symmetric functions. There are actually three ...

147

Schur Convexity for a Class of Symmetric Functions and Its Applications

Schur Convexity for a Class of Symmetric Functions and Its Applications

... The notion of Schur convexity was first introduced by Schur in 1923 1. It has many important applications in analytic inequalities 2–7, combinatorial optimization 8, isoperimetric problem for polytopes 9, linear ...

15

10. Schur convexity with respect to  a class of  symmetric functions and their applications

10. Schur convexity with respect to a class of symmetric functions and their applications

... The Schur convexity was introduced by I. Schur [5] in 1923, G. H. Hardy, J. E. Littlewood and G. P´ olya were also interested in some inequalities that are related to the Schur convexity [6]. It has many important ...

13

On Schur Convexity of Some Symmetric Functions

On Schur Convexity of Some Symmetric Functions

... Lv, “The Schur harmonic convexity of the Hamy symmetric function and its applications,” Journal of Inequalities and Applications, vol.. Olkin, Inequalities: Theory of Majorization and It[r] ...

12

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

... of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fej´ er type integral inequalities are presented for the class of harmonically convex ...

14

Some Results on (j,k) Symmetric Starlike Harmonic Functions

Some Results on (j,k) Symmetric Starlike Harmonic Functions

... -fold symmetric functions is denoted by S k , and for k = 2 we get the class of odd univalent ...-symmetrical functions ( k = 2,3, … , and j = 0,1,2, … , k − 1 ) is a generalization of the notion of ...

11

Geometrical relations and plethysms in the Homfly skein of the annulus

Geometrical relations and plethysms in the Homfly skein of the annulus

... of symmetric functions to Turaev’s ...of symmetric functions, and use the connection between quan- tum sl(N) invariants and the skein C + to give a formula for the ...

28

Recent  Results  on  Balanced  Symmetric  Boolean  Functions

Recent Results on Balanced Symmetric Boolean Functions

... balanced symmetric boolean functions up to 128 ...balanced symmetric functions of degree less than or equal to 7(excluding the trivial cases) only exist for eight variables ...balanced ...

9

On the quermassintegrals of convex bodies

On the quermassintegrals of convex bodies

... There is a remarkable similarity between inequalities about symmetric functions or determinants of symmetric matrices and inequalities about the mixed volumes of convex bodies.. For exam[r] ...

5

On  the  Immunity  of  Rotation  Symmetric  Boolean  Functions  Against  Fast  Algebraic  Attacks

On the Immunity of Rotation Symmetric Boolean Functions Against Fast Algebraic Attacks

... Boolean functions are frequently used in the design of stream ciphers, block ciphers and hash ...Boolean functions is to be used as filter and combination generators of stream ciphers based on linear ...

12

Polynomial equations and solvability: A historical perspective

Polynomial equations and solvability: A historical perspective

... degree of/,if the deg(/)=0 the result is clear.. Arrange the terms ofthe given symmetric polynomial lexicographically. We have to find a product cr{x) of elementary symmetric functions w[r] ...

58

Coefficient Estimate for a Subclass of Univalent Functions with Respect to Symmetric Points

Coefficient Estimate for a Subclass of Univalent Functions with Respect to Symmetric Points

... In many earlier investigations various interesting subclasses of the analytic function class A and the univalent function class S have been studied from a number of different viewpoints. We choose to recall here the ...

7

On Non-Commutative Continuous Functions and Asymptotic Symmetric Gauge Norms, Shayathorn Wanasawat

On Non-Commutative Continuous Functions and Asymptotic Symmetric Gauge Norms, Shayathorn Wanasawat

... decomposable functions, which he later called non-commutative continuous functions of a single ...continuous functions of arbitrarily many ...these functions and their properties. The nicest ...

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