TY  - JOUR
T1  - Ağırlıklı Jensen eşitsizliği yardımıyla ortalama eşitsizlikler
AU  - Sarıkaya, Mehmet Zeki
AU  - Kozan, Gizem
PY  - 2023
DA  - July
DO  - 10.29130/dubited.1153656
JF  - Duzce University Journal of Science and Technology
JO  - DÜBİTED
PB  - Duzce University
WT  - DergiPark
SN  - 2148-2446
SP  - 1463
EP  - 1471
VL  - 11
IS  - 3
LA  - tr
AB  - Bu makalede amacımız, ağırlıklı Jensen eşitsizliği ile ilk olarak yeni bir integral eşitsizliği elde etmek ve bu eşitsizliğin uygulanması ile yeni ortalama eşitsizlikler elde edilecektir.
KW  - Konveks fonksiyonlar
KW  - Jensen eşitsizliği
KW  - ortalama eşitsizlikler
CR  - [1] Dragomir SS.,Pearce CEM. Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
CR  - [2] P. Auscher, T. Coulhon, A. Grigoryan, Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces: Lecture Notes from a Quarter Program on Heat Kernels, Random Walks, and Analysis on Manifolds and Graphs: April 16--July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France, Contemporary Mathematics, American Mathematical Society (2003).
CR  - [3]  J.L.W.V. Jensen, Sur les fonctions convexes et les inégalités entre les valeurs moyennes, Acta Math., vol. 30, no 1, 1905, pp. 175-193.
CR  - [4]  Y. Nesterov, Introductory Lectures on Convex Optimization: A Basic Course, Applied Optimization Springer US (2013).
CR  - [5] J.E. Pecaric, Y.L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Mathematics in Science and Engineering Elsevier Science (1992).
CR  - [6]  W. Rudin, Real and Complex Analysis, McGraw-Hill, Inc., New York, NY, USA (1987).
UR  - https://doi.org/10.29130/dubited.1153656
L1  - https://dergipark.org.tr/en/download/article-file/2574085
ER  -