On Khabibullin's conjecture about pair of integral inequalities
نویسندگان
چکیده
منابع مشابه
New integral inequalities for $s$-preinvex functions
In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi$$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx$$in the cases where $f$ and $left| fright| ^{lambda }$ for $lambda >1$, are $s$-preinvex functions in the second sense.
متن کاملOn Russo's Conjecture about Primes
Let n, k be positive integres with k>2, and let b be a posItIve number with b> I. In this paper we prove that if n>C(k) , where C(k) IS an effectively computable constant depending on k, then we have C (n,k) <21lt .
متن کاملOn an Open Problem of Integral Inequalities
In this paper, some generalized integral inequalities which originate from an open problem posed in [F. Qi, Several integral inequalities, J. Inequal. Pure Appl. Math., 1(2) (2000), Art. 19] are established.
متن کاملNew Integral Inequalities Through the phi-Preinvexity
Abstract. In this note, we give some estimates of the generalized quadrature formula of Gauss-Jacobi type for phi-preinvex functions.
متن کاملDiamond-alpha Integral Inequalities on Time Scales
The theory of the calculus of variations was recently extended to the more general time scales setting, both for delta and nabla integrals. The primary purpose of this paper is to further extend the theory on time scales, by establishing some basic diamond-alpha dynamic integral inequalities. We prove generalized versions of Hölder, Cauchy-Schwarz, Minkowski, and Jensen’s inequalities. For the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ufa Mathematical Journal
سال: 2018
ISSN: 2074-1863,2074-1871
DOI: 10.13108/2018-10-3-117