Results 101 to 110 of about 904 (160)

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

open access: yesOpen Mathematics
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet   +3 more
doaj   +1 more source

Majorization-type inequalities for (m, M, ψ)-convex functions with applications

open access: yesOpen Mathematics
In 2001, S. S. Dragomir introduced a generalized class of convexity, the so-called (m,M,ψ)\left(m,M,\psi )-convex functions, which covers many other classes of convexity.
Dragomir Silvestru Sever   +2 more
doaj   +1 more source

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

open access: yesDemonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +1 more source

Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales

open access: yesDemonstratio Mathematica
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
doaj   +1 more source

Adaptive Integration of Convex Functions of One Real Variable

open access: yesAnnales Mathematicae Silesianae
We present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
doaj   +1 more source

On parameterized inequalities for fractional multiplicative integrals

open access: yesDemonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng   +4 more
doaj   +1 more source

Improved Heinz inequalities via the Jensen functional

open access: yesOpen Mathematics, 2013
Krnić Mario, Pečarić Josip
doaj   +1 more source

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

open access: yesDemonstratio Mathematica
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
doaj   +1 more source

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

open access: yesOpen Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source

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