Inequalities of Hermite-Hadamard‎-Mercer Type for Convex Functions via K-Fractional Integrals

الموضوعات : فصلنامه ریاضی

Muhammad Aamir Ali ¹ ( Nanjinjg University )
Talib Hussain ² ( Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan )
Muhammad Zafar Iqbal ³ ( Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan )
Farooq Ejaz ⁴ ( Faculty of Sciences, Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan )

تاريخ الإرسال : 24 الأحد , رمضان, 1441 تاريخ التأكيد : 15 الأربعاء , ذو الحجة, 1441 تاريخ الإصدار : 13 الثلاثاء , محرم, 1442

الکلمات المفتاحية: Hermite-Hadamard inequalities, Convex functions, Jensen-Mercer inequality, k-Riemann-Liouville fractional integrals,

ملخص المقالة :

‎In this paper‎, ‎the authors establish inequalities of the‎ Hermite-Hadamard-Mercer type for convex functions by applying k-fractional‎ integrals‎. ‎We prove some new fractional inequalities connected to the left‎ part of Hermite-Hadamard-Mercer type inequalities for differentiable‎ ‎mappings whose first derivatives in absolute value are convex‎.