Two dimensional operator preinvex functions and associated Hermite-Hadamard type inequalities
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DOI: 10.2298/fil1808825m
Abstract: We first introduce the notion of operator (h1, h2)-preinvex on the co-ordinates. After this some new two dimensional version of integral inequalities of Hermite-Hadamard type associated with this new class of operator (h1, h2)-preinvex are… read more here.
Keywords: operator preinvex; hermite hadamard; hadamard type; two dimensional ... See more keywords
Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions
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DOI: 10.3390/axioms12010016
Abstract: In this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator ω1,ω2-preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator ω1,ω2-preinvex functions… read more here.
Keywords: preinvex functions; operator preinvex; trapezoidal inequalities; fej type ... See more keywords