Results 31 to 40 of about 1,290 (131)
Opial type inequalities for double Riemann-Stieltjes integrals
Moroccan Journal of Pure and Applied Analysis, 2018 In this paper, we establish some Opial type inequalities for Riemann-Stieltjes integrals of functions with two variables. The obtained inequalities generalize those previously demonstrated (see [2])
Budak Hüseyin
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On Opial-type inequality for a generalized fractional integral operator
Demonstratio Mathematica, 2022 This article is aimed at establishing some results concerning integral inequalities of the Opial type in the fractional calculus scenario. Specifically, a generalized definition of a fractional integral operator is introduced from a new Raina-type ...
Vivas-Cortez Miguel +3 more
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An Inequality in Metric Spaces [PDF]
, 2004 In this note we establish a general inequality valid in metric spaces that is related to the polygonal inequality and admits also a natural geometrical interpretation.
Dragomir, Sever S, Goşa, Anca C
core
Some New Integral Inequalities via Strong Convexity
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We prove some new refined inequalities by using strong convexity. Some refinements of the Chebyšhev’s inequality are considered.
Markos Fisseha Yimer, Zhihua Zhang
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A more generalized Gronwall‐like integral inequality with applications
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 927-934, 2003., 2003 This paper deals with a new Gronwall‐like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992). The new Gronwall‐like integral inequality can be used in various problems in the theory of certain class of ordinary and integral equations.
Qinghua Ma, Lokenath Debnath
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The 123 theorem of Probability Theory and Copositive Matrices
Special Matrices, 2014 Alon and Yuster give for independent identically distributed real or vector valued random variablesX, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derivethese using copositive matrices instead.
Kovačec Alexander +2 more
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An application of Hayashi's inequality in numerical integration
Open Mathematics, 2023 This study systematically develops error estimates tailored to a specific set of general quadrature rules that exclusively incorporate first derivatives.
Heilat Ahmed Salem +4 more
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Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]
, 2000 Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Guo, Bai-Ni, Qi, Feng
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Characterization of the monotone polar of subdifferentials
, 2013 We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan +4 more
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