New integral inequalities using exponential type convex functions with applications
Copyright policy )New integral inequalities using exponential type convex functions with applications
Dans cet article, nous établissons de nouvelles inégalités de type Hermite-Hadamard pour les fonctions convexes de type exponentiel différentiel et discutons de plusieurs cas particuliers. De plus, afin de donner l'efficacité de nos principaux résultats, certaines applications pour des moyennes spéciales et des estimations d'erreurs sont obtenues.
En este artículo, establecemos algunas nuevas desigualdades de tipo Hermite-Hadamard para funciones convexas de tipo exponencial diferencial y discutimos varios casos especiales. Además, con el fin de dar la eficiencia de nuestros principales resultados, se obtienen algunas aplicaciones para medios especiales y estimaciones de errores.
In this paper, we establish some new Hermite-Hadamard type inequalities for differential exponential type convex functions and discuss several special cases. Moreover, in order to give the efficient of our main results, some applications for special means and error estimations are obtain.
في هذه الورقة، نحدد بعض المتباينات الجديدة من نوع Hermite - Hadamard للدوال المحدبة الأسية التفاضلية ونناقش العديد من الحالات الخاصة. علاوة على ذلك، من أجل إعطاء كفاءة نتائجنا الرئيسية، يتم الحصول على بعض التطبيقات للوسائل الخاصة وتقديرات الأخطاء.
- Zhejiang Normal University China (People's Republic of)
- Quzhou College of Technology China (People's Republic of)
- COMSATS University Islamabad Pakistan
- Mehran University of Engineering and Technology Pakistan
exponential type convexity, Economics, Exponential type, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Convex function, QA1-939, FOS: Mathematics, Jensen's inequality, power-mean inequality, power mean inequality, Biology, Hadamard transform, Order (exchange), Hermite polynomials, convexity, Ecology, hermite-hadamard inequality, Applied Mathematics, Physics, Exponential function, Pure mathematics, Stability of Functional Equations in Mathematical Analysis, Applied mathematics, Convex optimization, Regular polygon, Convex analysis, Hermite-Hadamard inequality, Inequality, error estimation, FOS: Biological sciences, Physical Sciences, Inequalities for sums, series and integrals, Thermodynamics, Differential (mechanical device), exponential-type convexity, Hermite-Hadamard Inequalities, special means, Type (biology), Mathematics, Finance, Hypergeometric Functions
exponential type convexity, Economics, Exponential type, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Convex function, QA1-939, FOS: Mathematics, Jensen's inequality, power-mean inequality, power mean inequality, Biology, Hadamard transform, Order (exchange), Hermite polynomials, convexity, Ecology, hermite-hadamard inequality, Applied Mathematics, Physics, Exponential function, Pure mathematics, Stability of Functional Equations in Mathematical Analysis, Applied mathematics, Convex optimization, Regular polygon, Convex analysis, Hermite-Hadamard inequality, Inequality, error estimation, FOS: Biological sciences, Physical Sciences, Inequalities for sums, series and integrals, Thermodynamics, Differential (mechanical device), exponential-type convexity, Hermite-Hadamard Inequalities, special means, Type (biology), Mathematics, Finance, Hypergeometric Functions
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