Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator
Copyright policy )Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator
The aim of this paper is to study $ h $ convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via $ h $ convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of $ h $ convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by through special means.
The aim of this paper is to study $ h $ convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via $ h $ convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of $ h $ convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by through special means.
The aim of this paper is to study $ h $ convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via $ h $ convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of $ h $ convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by through special means.
The aim of this paper is to study $ h $ convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via $ h $ convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of $ h $ convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by special means.
الهدف من هذه الورقة هو دراسة الدوال المحدبة بالدولار وتقديم بعض المتباينات للمشغل الكسري Caputo - Fabrizio. بالمعنى الدقيق للكلمة، قدمنا متباينة نوع Hermite - Hadamard عبر الدالة $ h $ المحدبة التي تتضمن عامل التشغيل الكسري Caputo - Fabrizio. قدمنا أيضًا بعض المتباينات الجديدة لفئة الدوال المحدبة $ h $. علاوة على ذلك، قدمنا أيضًا بعض تطبيقات نتائجنا بوسائل خاصة تلعب دورًا مهمًا في الرياضيات التطبيقية والبحتة، خاصةً أن دقة النتائج يمكن تأكيدها بوسائل خاصة.
- University of Okara Pakistan
- COMSATS University Islamabad Pakistan
- Shijiazhuang University China (People's Republic of)
Hermite-Hadamard-type inequality, Geometry, Evolutionary biology, Convex Functions, Operator (biology), Caputo-Fabrizio fractional operator, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, capoto-fabrizio fractional operator, Convexity of real functions in one variable, generalizations, Fractional Integrals, Fixed Point Theorems in Metric Spaces, Convex function, Fractional derivatives and integrals, Special functions, QA1-939, FOS: Mathematics, Biology, Hadamard transform, Hermite polynomials, Algebra over a field, Applied Mathematics, Pure mathematics, h-convexity, hermite-hadamard type inequality, \(h\)-convexity, Regular polygon, Chemistry, Inequality, Function (biology), Physical Sciences, Repressor, Inequalities for sums, series and integrals, Geometry and Topology, Hermite-Hadamard Inequalities, Transcription factor, Mathematics
Hermite-Hadamard-type inequality, Geometry, Evolutionary biology, Convex Functions, Operator (biology), Caputo-Fabrizio fractional operator, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, capoto-fabrizio fractional operator, Convexity of real functions in one variable, generalizations, Fractional Integrals, Fixed Point Theorems in Metric Spaces, Convex function, Fractional derivatives and integrals, Special functions, QA1-939, FOS: Mathematics, Biology, Hadamard transform, Hermite polynomials, Algebra over a field, Applied Mathematics, Pure mathematics, h-convexity, hermite-hadamard type inequality, \(h\)-convexity, Regular polygon, Chemistry, Inequality, Function (biology), Physical Sciences, Repressor, Inequalities for sums, series and integrals, Geometry and Topology, Hermite-Hadamard Inequalities, Transcription factor, Mathematics
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