Hermite-Hadamard type inequalities via new exponential type convexity and their applications
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In this paper, authors study the concept of (s,m)-exponential type convex functions and their algebraic properties. New generalizations of Hermite-Hadamard type inequality for the (s,m)-exponential type convex function ? and for the products of two (s,m)-exponential type convex functions ? and ? are proved. Some refinements of the (H-H) inequality for functions whose first derivative in absolute value at certain power are (s,m)-exponential type convex are obtain. Finally, many new bounds for special means and new error estimates for the trapezoidal and midpoint formula are provided as well.
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2021 ◽
Vol 2
(2)
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pp. 1-15
Keyword(s):
2011 ◽
Vol 86
(1)
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pp. 126-134
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Keyword(s):
2019 ◽
Vol 2019
(1)
◽