Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables

Hwang, Dah-Yan

doi:10.1016/j.amc.2011.04.036

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Introduction3

Z Liu1

Definition 5 Let F ∈ L[a B] the Right-hand Side And Left-1

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Cited by 19 publications

(15 citation statements)

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“…which has been overlooked in the literature (see e.g., [3][4][5][6][7][8][9][10][11][12][13]). The inequalities (1), (2) and (3) have a uniform bound independent of q.…”

Section: Z Liumentioning

confidence: 99%

On Inequalities Related to Some Quasi-Convex Functions

Liu¹

2015

Issues of Analysis

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“…which has been overlooked in the literature (see e.g., [3][4][5][6][7][8][9][10][11][12][13]). The inequalities (1), (2) and (3) have a uniform bound independent of q.…”

Section: Z Liumentioning

confidence: 99%

On Inequalities Related to Some Quasi-Convex Functions

Liu¹

2015

Issues of Analysis

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“…For more results on (1.1) which provide new proof, significantly extensions, generalizations, refinements, counterparts, new Hermite-Hadamard-type inequalities and numerous applications, we refer the interested reader [1][2][3][4]14] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Characterizations of Classes of Harmonic Convex Functions and Applications

Baloch

Sen

Işcan

2019

ijaa

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“…In [9], Hwang found out the Fejér trapezoidal inequality related to convex functions as follows: (2)…”

Section: Introductionmentioning

confidence: 99%

Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application

Turhan

2019

Journal of Function Spaces

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Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions. In this paper, a mapping ( ) is considered to get some preliminary results and a new trapezoidal form of Fejér inequality related to the harmonically arithmetic convex functions. By using a mapping ( ), the new theorems and corollaries are obtained. Taking advantage of these, applications were given for some real number averages.

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Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables

Cited by 19 publications

References 9 publications

On Inequalities Related to Some Quasi-Convex Functions

On Inequalities Related to Some Quasi-Convex Functions

Characterizations of Classes of Harmonic Convex Functions and Applications

Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application

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