Cirtoaje
WebF Problem [Vasile Cirtoaje]: If a;b;c are positive real numbers such that abc = 1, then 7 6a 2+a2 + 7 6b 2+b2 + 7 6c 2+c2 1 O Solution [Lê Hœu Đi•n Khuê]: We can prove this inequality using the following remark : if a;b > 0 and 1 ab 10 then f(a)+f(b) 2f(p ab) where f(x) = 7 6x 2+x2. Indeed, if 1 10 a 1 or 1 10 b 1 or 1 10 c 1, WebVASILE CIRTOAJE, PROOFS OF THREE OPEN INEQUALITIES WITH POWER-EXPONENTIAL FUNCTIONS, Journal of Nonlinear Sciences and Applications, 4 (2011), …
Cirtoaje
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WebKunihiko Chikaya's Inequality with a Constraint An Inequality with Five Variables, Only Three Cyclic. Second Pair of Twin Inequalities: Twin 1. Second Pair of Twin Inequalities: Twin … WebJul 5, 2024 · In this paper, we will show that a2b + b2a + r (ab(a− b)) ≤ 1 holds for all 0 ≤ a and 0 ≤ b with a + b = 1 and all 0 ≤ r ≤ 1/2. This gives the first example of a stronger inequality of a2b + b2a ≤ 1.…
WebVasile Cirtoaje* and Alina Baiesu * Correspondence: [email protected] Department of Automatic Control and Computers, University of Ploiesti, 100680 Ploiesti, Romania Abstract We extend the right and left convex function theorems to weighted Jensen’s type inequalities, and then combine the new theorems in a single one applicable to a WebJun 10, 2016 · In [ 1 ], Coronel and Huancas posted several conjectures for inequalities with the power exponential functions. Some of them are not valid as was shown by …
WebJul 10, 2024 · The author, Vasile Cîrtoaje, professor at University of Ploiesti-Romania, has become well-known for his excellent creations in the mathematical inequality field, ever since the time when he was student in high school (in Breaza city, Prahova Valley). As a student (quite some time ago, oh yes!), I was already familiar with the name of Vasile… WebJun 27, 2024 · Vasile Cîrtoaje - Mathematical Inequalities (4 volumes) - posted in Tài liệu tham khảo khác: Xin giới thiệu đến các bạn 4 volumes sách bất đẳng thức của Vasile Cîrtoaje The book is a rich and meaningful collection of more than 1000 beautiful inequalities, hints, solutions and methods, some of them being posted in the last ten …
WebThis article aims to study the impact of carbon nanotube dispersions in liquid crystals. A theoretical model for the system’s dynamics is presented, considering the elastic continuum theory and a planar alignment of liquid crystal molecules on the nanotube’s surface. Experimental calculation of the relaxation times in the …
WebJul 5, 2024 · In this paper, we will show that a2b + b2a + r (ab(a− b)) ≤ 1 holds for all 0 ≤ a and 0 ≤ b with a + b = 1 and all 0 ≤ r ≤ 1/2. This gives the first example of a stronger … bitcoin cash abkürzungWebJun 10, 2016 · In [ 1 ], Coronel and Huancas posted several conjectures for inequalities with the power exponential functions. Some of them are not valid as was shown by the unknown referee of this paper. We note that Theorems 1.2, 1.3, Lemma 3.1, Conjectures 3.1 and 3.2 in [ 1] are not valid. bitcoin cash actuWebMay 28, 2016 · V. Cirtoaje et al. [2] conjectured and proved [3, 4] that the inequality a^(r b) + b^(r a) ≤ 2 holds for all nonnegative numbers r ≤ 3 and nonnegative real numbers a, b with a +b=2. In this paper, we … Expand darya.net app download freeWebJan 11, 2016 · General algebra. Cirtoaje V. Algebraic inequalities. Volume 3. pdf file. size 1,16 MB. added by boomsh 01/11/2016 03:52. info modified 01/13/2016 04:19. University of Ploiesti, 2015. - 391 c. Vasile Cîrtoaje is a Professor at the Department of Automatic Control and Computers. from Petroleum-Gas University of Ploiesti, Romania, where he teaches ... bitcoin cash accountWebCirtoaje, V. (2024) Mathematical Inequalities Volume 3. 1st edn. LAP LAMBERT Academic Publishing. LAP LAMBERT Academic Publishing. Available at: … daryan in corrieWebKunihiko Chikaya's Inequality with a Constraint An Inequality with Five Variables, Only Three Cyclic. Second Pair of Twin Inequalities: Twin 1. Second Pair of Twin Inequalities: Twin 2. Cyclic Inequality In Three Variables from the 2024 Romanian Olympiad, Grade 9. Dan Sitaru's Cyclic Inequality in Three Variables IX. bitcoin cash adresseWebVasile Cirtoaje* and Alina Baiesu * Correspondence: [email protected] Department of Automatic Control and Computers, University of Ploiesti, 100680 Ploiesti, Romania … bitcoin cash address