Research Article

Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions

Volume: 40 Number: 4 December 31, 2019
EN

Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions

Abstract

First of all, a novel inequality of Hadamard's type for functions higher order derivatives of which are convex is developed. It is also presented midpoint type results. Afterward, Ostrowski type inequalities for mappings whose   derivatives are either Lipschitzian or Hölder continuous with   are established. Furthermore, links between results given in the earlier paper and our outcomes are examined.

Keywords

Convex Function,Lipschitz Continuity,Ostrowski's Inequality,Hermite-Hadamard inequality

References

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APA
Erden, S. (2019). Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions. Cumhuriyet Science Journal, 40(4), 819-829. https://doi.org/10.17776/csj.577459
AMA
1.Erden S. Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions. CSJ. 2019;40(4):819-829. doi:10.17776/csj.577459
Chicago
Erden, Samet. 2019. “Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions”. Cumhuriyet Science Journal 40 (4): 819-29. https://doi.org/10.17776/csj.577459.
EndNote
Erden S (December 1, 2019) Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions. Cumhuriyet Science Journal 40 4 819–829.
IEEE
[1]S. Erden, “Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions”, CSJ, vol. 40, no. 4, pp. 819–829, Dec. 2019, doi: 10.17776/csj.577459.
ISNAD
Erden, Samet. “Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions”. Cumhuriyet Science Journal 40/4 (December 1, 2019): 819-829. https://doi.org/10.17776/csj.577459.
JAMA
1.Erden S. Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions. CSJ. 2019;40:819–829.
MLA
Erden, Samet. “Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions”. Cumhuriyet Science Journal, vol. 40, no. 4, Dec. 2019, pp. 819-2, doi:10.17776/csj.577459.
Vancouver
1.Samet Erden. Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions. CSJ. 2019 Dec. 1;40(4):819-2. doi:10.17776/csj.577459