Results 11 to 20 of about 1,289,599 (266)
Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables [PDF]
Using a theorem of Ulam and Hyers, we will prove the Hyers-Ulam stability of two-dimensional Lagrange’s mean value points ( η , ξ ) which satisfy the equation, f ( u , v ) − f ( p , q ) = ( u − p ) f x ( η , ξ ) + ( v − q ) f y ( η , ξ ) , where ( p , q ) and ( u , v ) are distinct points in the plane ...
Soon-Mo Jung, Ji-Hye Kim
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Characterizations of the equality of two-variable generalized quasiarithmetic means
This paper is motivated by an astonishing result of H. Alzer and S. Ruscheweyh published in 2001 in the Proc. Amer. Math. Soc., which states that the intersection of the classes two-variable Gini means and Stolarsky means is equal to the class of two-variable power means.
Zsolt Páles, Amr Zakaria
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Comparisons of mandatory and discretionary lane changing behavior on freeways
This research performs comparative analyses on drivers’ behavior during mandatory and discretionary lane changes. We do this by examining the statistical properties of four lane changing decision variables that describe the gaps between the subject ...
Matthew Vechione +2 more
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On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means [PDF]
The purpose of this paper is to investigate the invariance of the arithmetic mean with respect to two weighted Bajraktarević means, i.e., to solve the functional equation $$ \bigg(\frac{f}{g}\bigg)^{\!\!-1}\!\!\bigg(\frac{tf(x)+sf(y)}{tg(x)+sg(y)}\bigg) +\bigg(\frac{h}{k}\bigg)^{\!\!-1}\!\!\bigg(\frac{sh(x)+th(y)}{sk(x)+tk(y)}\bigg)=x+y \qquad(x,y\in I)
Zsolt Páles, Amr Zakaria
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On a functional equation related to two-variable Cauchy means [PDF]
In this paper, we are dealing with the solution of the functional equation $$ φ\Big(\frac{x+y}2\Big)(f(x)-f(y))=F(x)-F(y), $$ concerning the unknown functions $φ,f$ and $F$ defined on a same open subinterval of the reals. Improving the previous results related to this topic, we describe the solution triplets $(φ,f,F)$ assuming only the continuity of $φ$
Kiss, Tibor, Páles, Zsolt
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The notion of invariance under transformations (changes of coordinates) of the Cauchy mean-value expression is introduced and then used in furnishing a suitable two-variable version of a result by L. Losonczi on equality of many-variable Cauchy means. An
Lucio R. Berrone
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Application of student's t-test, analysis of variance, and covariance
Student's t test (t test), analysis of variance (ANOVA), and analysis of covariance (ANCOVA) are statistical methods used in the testing of hypothesis for comparison of means between the groups.
Prabhaker Mishra +4 more
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New inequalities for means in two variables [PDF]
In this paper, some bounds for I(x, y) in terms of A(x, y) and L(x, y) , and L(x, y) in terms of G(x, y) and I(x, y) are established. Mathematics subject classification (2000): 26E60, 26D07.
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The dynamic Effects of speculation sectors returns on beta-herding behavior in Tehran Stock Exchange [PDF]
For the first time, this research investigat the relationship between speculative sector on herding behavior in the Tehran Stock Exchange market by using the (TVP-FAVAR) model and seasonal data from the years (1388- 1) to (1400-4).
Abbas Behnod +2 more
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Computer aided solution of the invariance equation for two-variable Stolarsky means [PDF]
We solve the so-called invariance equation in the class of two-variable Stolarsky means ${S_{p,q}:p,q\in\R}$, i.e., we find necessary and sufficient conditions on the 6 parameters $a,b,c,d,p,q$ such that the identity [S_{p,q}\big(S_{a,b}(x,y),S_{c,d}(x,y)\big)=S_{p,q}(x,y) \qquad (x,y \in \R_+)] be valid.
Szabolcs Baják, Zsolt Páles
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