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Some New Bounds of the Quadrature Formula of Gauss-Jacobi Type via (p,q)-Preinvex Functions |
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PP: 51-56 |
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doi:10.18576/amisl/050203
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Author(s) |
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Muhammad Aslam Noor,
Muhammad Uzair Awan,
Khalida Inayat Noor,
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Abstract |
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| In this article, authors introduced the notion of (p,q)-preinvex functions. Some new and interesting estimates of the integral
a+ η (b,a) R a (a+
η (b,a)−u)p(u−a)q f(u)du via (p,q)-preinvex functions are obtained. These estimates can be viewed as refined bounds
of the quadrature formula of Gauss-Jacobi type. The ideas and technique of this paper may be starting point for further research in this dynamic and interesting field. |
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