Boundary calculations for transformations associated with the hermite-hadamard inequalities
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Abstract (EN)
In this thesis, midpoint type and trapezoid type inequalities for second order differentiable bounded functions are investigated. New integral inequalities are presented by means of functions with lower and upper bounds of their second derivatives. Focus is placed on the association of the Hermite-Hadamard integral inequality with two special transformations and the computation of the bounds of these transformations. Also, two inverse inequalities of Bullen's inequality, various applications of the arithmetic mean and the logarithmic mean are presented. Keywords: Convex Functions, Hermite-Hadamard Inequality, Means
Author
Meryem Yıldırım Sarıkaya
How to Cite
Meryem Yıldırım Sarıkaya (Master Thesis). Boundary calculations for transformations associated with the hermite-hadamard inequalities, 2025, Düzce University.
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