Results 41 to 50 of about 10,446 (248)
Some fractional integral inequalities via h-Godunova-Levin preinvex function
AIMS Mathematics, 2022 In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different ...
Sabila Ali +5 more
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Extensions of the Hermite-Hadamard inequality with applications [PDF]
Mathematical Inequalities & Applications, 2012 The main aim of this paper is to give improvements of various forms of the Hermite-Hadamard inequality, namely, that of Fejèr, Lupaş, Brenner-Alzer, Beesack-Pečarić. It is interesting that these improvements also imply the Hammer-Bullen inequality which deals with a comparison of the left-hand and the right-hand side of the Hermite-Hadamard inequality.
Josip Pečarić +2 more
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Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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On the refinements of the Hermite-Hadamard inequality [PDF]
Journal of Inequalities and Applications, 2012 في هذه الورقة، نقدم بعض التحسينات على متباينة هيرميت- هادامارد الكلاسيكية المتكاملة للوظائف المحدبة. علاوة على ذلك، نعطي مفهوم التحدب الأسي n والتحدب اللوغاريتمي للوظائف المرتبطة بالوظائف الخطية التي تحددها هذه المتباينات ونثبت خاصية رتابة وسائل كوشي المعممة التي تم الحصول عليها عبر هذه الوظائف.
Sadia Khalid +2 more
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Symmetry, 2020 In this paper, a new identity for the generalized fractional integral is defined. Using this identity we studied a new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality
O. Almutairi, Adem Kılıçman
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A generalization of Hermite-Hadamard’s inequality [PDF]
Kragujevac Journal of Mathematics, 2017 In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a Hermite-Hadamard like inequality that combines the composite trapezoid and composite midpoint formulae is proved.
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AIMS Mathematics, 2021 In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral.
Yanping Yang +3 more
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Hermite–Hadamard–Fejer type inequalities [PDF]
Journal of Interdisciplinary Mathematics, 2018 In this paper, we have established the left hand side of the Hermite–Hadamard–Fejer type inequalities for the class of functions whose derivatives in absolute value at certain powers are convex fun...
Yaldız, Hatice, Sarıkaya, Mehmet Zeki
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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
Journal of Mathematics, 2018 This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar +2 more
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Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +3 more
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