Results 11 to 20 of about 312 (167)
A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of MathematicsThis paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given.
Mohsen Rostamian Delavar
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On Grüss type inequality for a hypergeometric fractional integral
Le Matematiche, 2011 Aim of the present paper is to investigate a new integral inequality of Grüss type for a hypergeometric fractional integral. Two main results are proved, the first one deals with Grüss type inequality using the hypergeometric fractional integral.
Shyam L. Kalla, Alka Rao
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A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals [PDF]
Journal of Applied Mathematics, 2014 The aim of this paper is to establish q-extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann-Liouville fractional q-integral operators. The results given earlier
Aydin Secer +3 more
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The local health impacts of natural resource booms. [PDF]
Health Econ, 2023 Abstract This paper uses novel micro‐data on natural resources and administrative health data in Brazil to study how economic booms in minerals affect health at birth. By implementing a reduced‐form estimation of shift‐share research designs, the identification strategy relies on the exogeneity of global commodity prices to municipality‐specific health
Maffioli EM.
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Two New Sharp Ostrowski-Grüss Type Inequalities
Le Matematiche, 2013 The purpose of this paper is to use a variant of the Grüss inequality to derive two new sharp Ostrowski-Grüss type inequalities related to a perturbed trapezoidal type rule and a perturbed generalized interior point rule, respectively, which provide ...
Zheng Liu
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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n-convex function is deduced from Jensen’s inequality involving diamond integrals.
Rabia Bibi +3 more
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On Inequalities for q‐h‐Integrals via Convex Functions
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article aims to investigate unified versions of the well‐known Hermite–Hadamard inequality by considering q‐h‐integrals and properties of convex functions. Currently published results for q‐integrals can be deduced from inequalities of this paper. Moreover, some new results are presented in terms of corollaries.
Yonghong Liu +6 more
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Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann‐Liouville (RL) fractional integral operator, new Hadamard‐type inequalities are proved for exponentially convex functions
Ahmet Ocak Akdemir +4 more
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New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel ...
Abd-Allah Hyder, Çetin Yildiz
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Convexity plays a vital role in pure and applied mathematics specially in optimization theory, but the classical convexity is not enough to fulfil the needs of modern mathematics; hence, it is important to study generalized notion of convexity. Fraction integral operators also become an important tool for solving problems of model physical and ...
Hengxiao Qi +4 more
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