Results 101 to 110 of about 904 (160)
An extension of Schweitzer's inequality to Riemann-Liouville fractional integral
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
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Majorization-type inequalities for (m, M, ψ)-convex functions with applications
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
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Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
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
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Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales
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
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Adaptive Integration of Convex Functions of One Real Variable
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
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On parameterized inequalities for fractional multiplicative integrals
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
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Improved Heinz inequalities via the Jensen functional
Krnić Mario, Pečarić Josip
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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
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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
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Notes on three conjectures involving the digamma and generalized digamma functions. [PDF]
Matejíčka L.
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