Results 51 to 60 of about 466 (100)
Generalized Fractional Integral Inequalities of σ‐Convex Functions
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
wiley +1 more source
Inequalities Involving the Derivative of Rational Functions With Prescribed Poles
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.This paper gives an upper bound of a modulus of the derivative of rational functions. rz=z−z0shz/wz∈Rm,n, where r(z) has exactly n poles a1, a2, ⋯, an and all the zeros of r(z) lie in Dk∪Dk+,k ≥ 1 except the zeros of order s at z0, |z0| < k. Moreover, we give an upper bound of a modulus of the derivative of rational functions.
Preeti Gupta, Chong Lin
wiley +1 more source
Bounds for the logarithm of the Euler gamma function and its derivatives [PDF]
, 2015 We consider differences between $\log \Gamma(x)$ and truncations of certain classical asymptotic expansions in inverse powers of $x-\lambda$ whose coefficients are expressed in terms of Bernoulli polynomials $B_n(\lambda)$, and we obtain conditions under
Diamond, Harold G., Straub, Armin
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Proof of one open inequality of Laub-Ilani type
, 2020 In this paper, we prove one new algebraic trigonometric inequality of Laub-Ilani type. This inequality was posted as the Conjecture 2.4 in the paper A. Y. Özban, “New AlgebraicTrigonometric Inequalities of Laub-Ilani type”, Bull. Aust. Math.
Ladislav atejíčcka
semanticscholar +1 more source
Open MathematicsWe establish novel Hermite-Hadamard-type inequalities for the product of two strongly hh-convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces.
Song Jinwen, Li Bufan, Ruan Jianmiao
doaj +1 more source
On Hadamard's Inequalities for the Convex Mappings Defined in Topological Groups and Connected Result [PDF]
, 2009 In this paper, we study the Hadamard’s inequality for midconvex and quasi-midconvex functions in topological groups.
Morassaei, Ali
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Moroccan Journal of Pure and Applied Analysis, 2017 In the present paper, the notion of new generalized (s, m, ϕ)-preinvex mapping is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving new generalized (s, m, ϕ)-preinvex mappings along ...
Kashuri Artion, Liko Rozana
doaj +1 more source
On Hadamard Type Inequalities Involving Several Kind of Convexity [PDF]
, 2011 In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.Comment: This paper is ...
Erhan Set +3 more
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, 2020 In this paper, we provide alternative proofs to some results proposed in the article ”New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions” authored by Yogesh J. Bagul.
Yogesh J. Bagul +2 more
semanticscholar +1 more source
On Hadamard Type Integral Inequalities for nonconvex Functions [PDF]
, 2013 In this paper, we extend some estimates of the right and left hand side of a Hermite-Hadamard type inequality for nonconvex functions whose derivatives absolute values are \Phi-convex and quasi-\Phi-convex was introduced by Noor in Noor1.Comment ...
Communicated Murat Tosun +3 more
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