for all n⩾1. Further, it fulfills the third order Turán inequality if the following 4(ωn2−ωn−1ωn+1)(ωn+12−ωnωn+2)⩾(ωnωn+1−ωn−1ωn+2)2 is true for every n⩾1. More generally, if Jωd,n(x) are the Jensen polynomials of degree d and shift...
For our purposes, algebra is the part of math that involves variables Some terms: Variable- a letter that represents either a specific number or all numbers The point is to find or usepatterns true for all numbers In algebraic equations, the variable represents one or two initially unknown val...
For all a, b > 0, the following two optimal inequalities are presented: Hα(a, b)L1-α(a, b) ≥ M1-4α/3(a, b) for α∈ [1/4, 1), and Hα(a, b)L1-α(a, b) ≤ M1-4α/3(a, b) for α∈ (0, 3√5-5/40]. Here, H(a, b), L(a, b), and Mp(a, b)...
Let (2.17) be true for some fixed and positive integer [Math Processing Error]n>1. Then, [Math Processing Error]f(x1n+1+2x2n+1,z)=∑p1=0n∑p2=0n−p1∑p3=0n−p1−p2∑p4=0n−p1−p2−p3(−3)p1+p33p2+p4f(M(p1,p2,p3,p4)n,z), (2.18) for all [Math ...
Indeed, Theorem 1.3 holds true for all star bodies. Theorem 4.9 Let p>1, L∈S(Cn), and C∈K(C) be an asymmetric Lp zonoid. Then(4.2)V(L)−2np−1V(Mp,CλL)≥V(B)−2np−1V(Mp,CλB). If dimC=1, equality holds if and only if L is an origin-symmetric ellipsoid...
The educational gradient was sharper in accidental and violent causes of death, but deaths from diseases contributed to differentials for both sexes among the youngest and the oldest. Conclusion The association between parental education and mortality in young age was consistent, although distinctively ...
Poor SRH, current smoking, and physical inactivity were clearly more prevalent in the lowest SES groups than in the higher groups, although this was not true for poor SRH for occupation in both genders as well as physical inactivity for education and occupation among women. Table 1. ...
The main motivation of this study is to present new inequalities for left and right log- s -convex-IVFs. Therefore, we establish some new Jensen-type, Hermite-Hadamard (HH)-type, and Hermite-Hadamard-Fejér (HH-Fejér)-type inequalities for this kind of IVF, which generalize some known ...
The graph for x ≥ 2 Inequalities that have the same solution are called equivalent. There are properties of inequalities as well as there were properties of equality. All the properties below are also true for inequalities involving ≥ and ≤. ...
service and professional workers, and 0 for labourers. Various accommodation combinations were considered but only one yielded evidence of an association. Accordingly, respondents residing in the largest labour camps housing over 200 residents were assigned a value of 1, and 0 for all other ...