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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Abstract
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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alp2018journalq-hermite
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| Authors | ;Necmettin Alp;Mehmet Zeki Sarıkaya;Mehmet Kunt;İmdat İşcan |
| Journal | cenraps journal of social sciences |
| Year | 2018 |
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