Some inequalities for a hypergeometric integral
نویسندگان
چکیده
منابع مشابه
Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.
متن کاملSome integral inequalities for harmonic h-convex functions involving hypergeometric functions
The aim of this paper is to establish some new Hermite–Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further research in this field. In recent years, much attention have been given to theory of convexity beca...
متن کاملSome sharp inequalities for multilinear integral operators
In this paper, some sharp inequalities for certain multilinear operators related to the Littlewood-Paley operator and the Marcinkiewicz operator are obtained. As an application, we obtain the (L p , L q)-norm inequalities and Morrey spaces boundedness for the multilinear operators.
متن کاملInequalities for Norms of Some Integral Operators
Let (A(a)u)(x) := a 0 (1 − xt) −1 u(t) dt, 0 < a < 1. Properties of the operators A(a) as a → 1 are studied. It is proved that A := A(1) is a bounded, positive self-adjoint operator in H = L 2 [0, 1], ||A|| ≤ π, while A : C(0, 1) → C(0, 1) is unbounded.
متن کاملNew 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 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: Proceedings of the Edinburgh Mathematical Society
سال: 1972
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500026122