Inequalities for differentiable mappings with application to special means and quadrature formulæ

Pearce, Charles E. M.; Pečarić, Josip

doi:10.1016/s0893-9659(99)00164-0

Cited by 206 publications

(111 citation statements)

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“…We clearly see that |ℎ | is concave because |ℎ | is concave for some > 1 (see [27]). From Theorem 1, Definition 2, Lemma 5, the concavity of |ℎ |, and Jensen's integral inequality, we have…”

Section: Journal Of Function Spacesmentioning

confidence: 92%

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Khan

Khurshid

et al. 2018

Journal of Function Spaces

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Section: Journal Of Function Spacesmentioning

confidence: 92%

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Khan

Khurshid

et al. 2018

Journal of Function Spaces

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“…As in [11] we shall consider extensions of arithmetic, logarithmic and generalized logarithmic means from positive real numbers. We take ( ) …”

Section: Some Applications To Special Meansmentioning

confidence: 99%

Some Hermite-Hadamard Type Inequalities for Differentiable Co-Ordinated Convex Functions and Applications

Hsu¹

2014

APM

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In this paper, we shall establish an inequality for differentiable co-ordinated convex functions on a rectangle from the plane. It is connected with the left side and right side of extended Hermite-Hadamard inequality in two variables. In addition, six other inequalities are derived from it for some refinements. Finally, this paper shows some examples that these inequalities are able to be applied to some special means.

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“…In recent years, some other kinds of Hermite-Hadamard type inequalities were generated in, for example, [4,7,8,10,11,12]. For more systematic information, please refer to monographs [3,6] and related references therein.…”

Section: Introductionmentioning

confidence: 99%

Some inequalities of Hermite--Hadamard type for functions whose second derivatives are boldsymbol (α,m )-convex

Shuang¹,

Qi²,

Wang³

2016

J. Nonlinear Sci. Appl.

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Inequalities for differentiable mappings with application to special means and quadrature formulæ

Cited by 206 publications

References 1 publication

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Some Hermite-Hadamard Type Inequalities for Differentiable Co-Ordinated Convex Functions and Applications

Some inequalities of Hermite--Hadamard type for functions whose second derivatives are boldsymbol (α,m )-convex

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