Results 11 to 20 of about 188 (39)
Some new nonlinear retarded sum-difference inequalities with applications [PDF]
Advances in Difference Equations, 2011 The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
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Results in Physics, 2021 This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan +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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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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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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On some intermediate mean values [PDF]
, 2012 We give a necessary and sufficient mean condition for the quotient of two Jensen functionals and define a new class $\Lambda_{f,g}(a, b)$ of mean values where $f, g$ are continuously differentiable convex functions satisfying the relation $f"(t)=t g"(t),
Simic, Slavko
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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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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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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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