New Hermite-Hadamard-Fejér type inequalities for (η1, η2)-convex functions via fractional calculus
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DOI: 10.2306/scienceasia1513-1874.2020.012
Abstract: Recently, fractional calculus has proved to be a powerful tool for study of interesting facts in different fields of sciences. It plays an important role in many physical phenomenon including nonlinear oscillations of earthquakes, and… read more here.
Keywords: new hermite; fractional calculus; hadamard fej; fej type ... 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
Some Companions of Fejér-Type Inequalities for Harmonically Convex Functions
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DOI: 10.3390/sym14112268
Abstract: In this paper, we present some mappings defined over 0,1 related to the Fejér-type inequalities that have been established for harmonically convex functions. As a consequence, we obtain companions of Fejér-type inequalities for harmonically convex… read more here.
Keywords: fej type; type inequalities; companions fej; inequalities harmonically ... See more keywords