Ostrowski Inequalities for Functions Whose First Derivatives Are Logarithmically Preinvex

Meftah, Badreddine

doi:10.1155/2016/5292603

Cited by 8 publications

(4 citation statements)

References 14 publications

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“…A few applications of our findings to special means are given. Our results improve those established in [29], and they also recover those established in [21].…”

Section: Discussionsupporting

confidence: 92%

See 1 more Smart Citation

Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions

Merad,

Meftah,

Moumen

et al. 2023

Fractal Fract

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This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity. Based on this identity, some symmetrical Maclaurin-type inequalities have been constructed for functions whose multiplicative derivatives are bounded as well as convex. At the end, some applications to special means are provided.

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“…A few applications of our findings to special means are given. Our results improve those established in [29], and they also recover those established in [21].…”

Section: Discussionsupporting

confidence: 92%

“…In [21], Meftah investigated some Maclaurin-type inequalities for multiplicatively convex functions and established the following results.…”

Section: Theorem 1 ([14]mentioning

confidence: 99%

Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions

Merad,

Meftah,

Moumen

et al. 2023

Fractal Fract

View full text Add to dashboard Cite

show abstract

“…Concerning some results which treats the inequality (1.1) for different type of preinvexity, one can consult [34][35][36][37][38][39][40][41][42][43][44] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Some weighted Ostrowski‐type inequalities for differentiable preinvex functions

Meftah

Souahi

2021

Math Methods in App Sciences

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In this study, we establish a new weighted integral identity and used it to establish some new weighted Ostrowski-type inequalities for functions whose modulus of the first derivatives are preinvex, which the obtained results represent generalizations as well as refinements for some known results. Finally, we explain our results by giving some applications dealing with the random variables and the special means.

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“…In 1938, A. M. Ostrowski proved an interesting integral inequality, estimating the absolute value of the derivative of a differentiable function by its integral mean as follows This is well-known Ostrowski's inequality. In recent years, a number of authors have written about generalizations, extensions and variants of such inequalities one can see [4,5,6,7,8,15] and the reference cited therein.…”

Section: Introductionmentioning

confidence: 99%

Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense

Meftah¹

2018

Mathematica Moravica

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In this paper, some Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense are established.2010 Mathematics Subject Classification. Primary: 26D10; Secondary: 26D15, 26A51. Key words and phrases. Ostrowski inequality, midpoint inequality, Hölder inequality, power mean integral inequality.Full paper. 12Ostrowski's inequalities for functions whose first derivatives. . . Meftah[8] established the following Ostrowski's inequality for functions whose derivative are log-preinvex. ([a, a + η (b, a)]) and f (a) = 0. If |f | is logarithmically preinvex function, then the following inequality holds:

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Ostrowski Inequalities for Functions Whose First Derivatives Are Logarithmically Preinvex

Abstract: Some Ostrowski type inequalities for functions whose first derivatives are logarithmically preinvex are established.

Cited by 8 publications

References 14 publications

Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions

Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions

Some weighted Ostrowski‐type inequalities for differentiable preinvex functions

Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense

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