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The book covers several new research findings in the area of
generalized convexity and integral inequalities. Integral
inequalities using various type of generalized convex functions are
applicable in many branches of mathematics such as mathematical
analysis, fractional calculus, and discrete fractional calculus.
The book contains integral inequalities of Hermite-Hadamard type,
Hermite- Hadamard-Fejer type and majorization type for the
generalized strongly convex functions. It presents Hermite-Hadamard
type inequalities for functions defined on Time scales. Further, it
provides the generalization and extensions of the concept of
preinvexity for interval-valued functions and stochastic processes,
and give Hermite-Hadamard type and Ostrowski type inequalities for
these functions. These integral inequalities are utilized in
numerous areas for the boundedness of generalized convex functions.
Features: Covers Interval-valued calculus, Time scale calculus,
Stochastic processes – all in one single book Numerous examples
to validate results Provides an overview of the current state of
integral inequalities and convexity for a much wider audience,
including practitioners Applications of some special means of real
numbers are also discussed The book is ideal for anyone teaching or
attending courses in integral inequalities along with researchers
in this area.
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