Document Zbl 1484.26090

Samraiz, Muhammad; Nawaz, Fakhra; Abdalla, Bahaaeldin; Abdeljawad, Thabet; Rahman, Gauhar; Iqbal, Sajid

Estimates of trapezium-type inequalities for \(h\)-convex functions with applications to quadrature formulae. (English) Zbl 1484.26090

AIMS Math. 6, No. 7, 7625-7648 (2021).

Summary: In this article, we develop a new class of trapezium-type inequalities up to twice differentiable \(h \)-convex mappings for fractional integrals of Riemann-type. We conclude numerous existing results in literature from our general inequalities. Based on our consequences, we will obtain some quadrature formulas as applications.

Cited in 3 Documents

MSC:

26D15	Inequalities for sums, series and integrals
26A51	Convexity of real functions in one variable, generalizations
26A33	Fractional derivatives and integrals

Keywords:

mid-point type inequalities; generalized Riemann-Liouville fractional integral operator; \(h\)-convex; \(s\)-convex

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