Results 1 to 10 of about 172 (76)
On Certain Triple Integral Relations Involving Elementary Functions
SAMRIDDHI A Journal of Physical Sciences Engineering and Technology, 2022 The aim of this paper is to establish three triple integral relations involving elementary functions. A number of triple integrals can be deduced by proper specialization of the unknown functions f and g occurring in these relations.
Mithilesh K. Mishra +4 more
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A HARMONIC MEAN INEQUALITY FOR THE EXPONENTIAL INTEGRAL FUNCTION
International Journal of Apllied Mathematics, 2021 By using purely analytical techniques, we establish a harmonic mean inequality for the classical exponential integral function.
K. Nantomah
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Integral inequalities via harmonically h-convexity
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem +2 more
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New properties for the Ramanujan R-function
Open Mathematics, 2022 In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu +3 more
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Some new inequalities involving the Hardy operator
Mathematische Nachrichten, Volume 293, Issue 2, Page 376-385, February 2020., 2020 Abstract In this paper we derive some new inequalities involving the Hardy operator, using some estimates of the Jensen functional, continuous form generalization of the Bellman inequality and a Banach space variant of it. Some results are generalized to the case of Banach lattices on (0,b],0
Ludmila Nikolova +2 more
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Levinson-type inequalities via new Green functions and Montgomery identity
Open Mathematics, 2020 In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Adeel Muhammad +3 more
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Analogy of Classical and Dynamic Inequalities Merging on Time Scales
Journal of Mathematics and Applications, 2020 In this paper, we present analogues of Radon’s inequality and Nesbitt’s inequality on time scales. Furthermore, we find refinements of some classical inequalities such as Bergström’s inequality, the weighted power mean inequality, Cauchy–Schwarz’s ...
Muhammad Jibril Shahab Sahir
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Some new inequalities of Hermite-Hadamard type for s-convex functions with applications
Open Mathematics, 2017 In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals.
Khan Muhammad Adil +3 more
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Some Identities and inequalities related to the Riemann zeta function
Moroccan Journal of Pure and Applied Analysis, 2019 A new proof of Euler’s formular for calculating ζ(2k) is given. Some new inequalities and identities for ζ(2k + 1) have also been given. The Riemann’s functional equation together with trigonometric identities were used to establish the results.
Abe-I-Kpeng Gregory +2 more
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Extensions of the Hardy‐Littlewood inequalities for Schwarz symmetrization
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3129-3150, 2004., 2004 For a class of functions H:(0,∞)×ℝ+2→ℝ, including discontinuous functions of Carathéodory type, we establish that ∫ℝNH(|x|,u(x),v(x))dx≤∫ℝNH(|x|,u*(x),v*(x))dx, where u*(x) and v*(x) denote the Schwarz symmetrizations of nonnegative functions u and v.
H. Hajaiej, C. A. Stuart
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