Results 11 to 20 of about 1,289,599 (266)

Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables [PDF]

open access: yesMathematics, 2018
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
openaire   +2 more sources

Characterizations of the equality of two-variable generalized quasiarithmetic means

open access: yesJournal of Mathematical Analysis and Applications, 2022
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
openaire   +4 more sources

Comparisons of mandatory and discretionary lane changing behavior on freeways

open access: yesInternational Journal of Transportation Science and Technology, 2018
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
doaj   +1 more source

On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means [PDF]

open access: yesAequationes mathematicae, 2018
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
openaire   +4 more sources

On a functional equation related to two-variable Cauchy means [PDF]

open access: yesMathematical Inequalities & Applications, 2019
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
openaire   +4 more sources

Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
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
doaj   +1 more source

Application of student's t-test, analysis of variance, and covariance

open access: yesAnnals of Cardiac Anaesthesia, 2019
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
doaj   +1 more source

New inequalities for means in two variables [PDF]

open access: yesMathematical Inequalities & Applications, 2008
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.
openaire   +1 more source

The dynamic Effects of speculation sectors returns on beta-herding behavior in Tehran Stock Exchange [PDF]

open access: yesمدلسازی اقتصادسنجی, 2023
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
doaj   +1 more source

Computer aided solution of the invariance equation for two-variable Stolarsky means [PDF]

open access: yesApplied Mathematics and Computation, 2010
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
openaire   +3 more sources

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