Results 31 to 40 of about 87 (80)

Refinements of Some Recent Inequalities for Certain Special Functions

open access: yesAnnales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed   +1 more
doaj   +1 more source

On some new integral inequalities concerning twice differentiable generalized relative semi-(m, h)-preinvex mappings

open access: yes, 2019
The authors first present some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(m, h)-preinvex mappings.
LIKO, Rozana   +2 more
core   +1 more source

Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam   +3 more
wiley   +1 more source

Generalized Fractional Integral Inequalities of σ‐Convex Functions

open access: yesJournal 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

open access: yesJournal 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

Some new Hermite-Hadamard type inequalities for product of strongly h-convex functions on ellipsoids and balls

open access: yesOpen Mathematics
We 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

Bullen–Simpson–Mercer type inequalities

open access: yesOpen Mathematics
The main objective of our paper is to establish a new set of Bullen–Simpson type inequalities concerning the Jensen–Mercer's inequality. At first, we derive a new general Bullen–Simpson–Mercer's identity, with which we get out primary consequences ...
Vukelić Ana
doaj   +1 more source

New extensions related to Fejér-type inequalities for GA-convex functions

open access: yesDemonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

New conformable fractional integrals of Ostrowski type using new generalized (s, m, ϕ)-preinvex mappings

open access: yesMoroccan 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

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

open access: yesDemonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

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