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Some Parameterized Quantum Midpoint and Quantum Trapezoid Type Inequalities for Convex Functions with Applications [PDF]
Quantum information theory, an interdisciplinary field that includes computer science, information theory, philosophy, cryptography, and entropy, has various applications for quantum calculus.
Suphawat Asawasamrit +3 more
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On Simpson's inequality and applications [PDF]
New inequalities of Simpson type and their application to quadrature formulae in Numerical Analysis are given.
Dragomir SS, Agarwal RP, Cerone P
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Evaluating COVID-19 control measures in mass gathering events with vaccine inequalities [PDF]
With the increasing global adoption of COVID-19 vaccines, limitations on mass gathering events have started to gradually loosen. However, the large vaccine inequality recorded among different countries is an important aspect that policymakers must ...
Ali M. Al-Shaery +4 more
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Simpson type inequalities and applications [PDF]
AbstractA new generalized integral identity involving first order differentiable functions is obtained. Using this identity as an auxiliary result, we then obtain some new refinements of Simpson type inequalities using a new class called as strongly (s, m)-convex functions of higher order of $$\sigma >0$$ σ
Awan, Muhammad Uzair +4 more
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On Generalization of Bullen-Simpson's Inequality [PDF]
Generalization of Bullen-Simpson's inequality for (2r)-convex functions is given, by using some Euler type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, are proved.
Matić, M., Pečarić, J., Vukelić, A.
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Newton–Simpson-type inequalities via majorization
AbstractIn this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to develop new generalized forms of prior estimates. Some basic inequalities such as Hölder’s,
Saad Ihsan Butt +3 more
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Inequality theory has attracted considerable attention from scientists because it can be used in many fields. In particular, Hermite–Hadamard and Simpson inequalities based on convex functions have become a cornerstone in pure and applied mathematics. We
Sabah Iftikhar +4 more
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Simpson type inequalities via φ–convexity [PDF]
In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are $ $-convex.
Ozdemir, MUHAMET EMİN +2 more
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Simpson type inequalities for Q- class functions [PDF]
4 ...
GÜRBÜZ, MUSTAFA +3 more
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Simpson’s Rule and Hermite–Hadamard Inequality for Non-Convex Functions
In this article we give a variant of the Hermite–Hadamard integral inequality for twice differentiable functions. It represents an improvement of this inequality in the case of convex/concave functions. Sharp two-sided inequalities for Simpson’s rule are
Slavko Simić, Bandar Bin-Mohsin
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