Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
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The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special cases, Hermite–Hadamard–Fejér-type estimates are derived for various classical quadrature formulae such as the Gauss–Legendre three-point quadrature formula and the Gauss–Chebyshev three-point quadrature formula of the first and of the second kind.
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2012 ◽
Vol 2012
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pp. 1-12
Some weighted Simpson type inequalities for differentiable s–convex functions and their applications
2021 ◽
Vol 1
(1)
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pp. 75-94
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2020 ◽
Vol 2020
(1)
◽
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