q-hermite hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions

Necmettin Alp; Mehmet Zeki Sarıkaya; Mehmet Kunt; İmdat İşcan

q-hermite hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions

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ID: 197285

2018

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Ranked #23 of 30 articles by views in cenraps journal of social sciences

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Abstract

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In this paper, we prove the correct q-Hermite–Hadamard inequality, some new q-Hermite–Hadamard inequalities, and generalized q-Hermite–Hadamard inequality. By using the left hand part of the correct q-Hermite–Hadamard inequality, we have a new equality. Finally using the new equality, we give some q-midpoint type integral inequalities through q-differentiable convex and q-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works. Keywords: Hermite–Hadamard inequality, Midpoint type inequality, q-Integral inequalities, q-Derivative, q-Integration, Convexity, Quasi-convexity

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Reference Key	alp2018journalq-hermite Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors	Necmettin Alp, Mehmet Zeki Sarıkaya, Mehmet Kunt, İmdat İşcan Are you one of these authors? Claim your profile
Journal	cenraps journal of social sciences
Year	2018
DOI	DOI not found Searching for DOI...
URL	http://www.sciencedirect.com/science/article/pii/S1018364716304839
Keywords	Science (General)

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Necmettin Alp

Mehmet Zeki Sarıkaya

Mehmet Kunt

İmdat İşcan

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