Results 31 to 40 of about 2,050 (154)
Ostrowski and generalized trapezoid type inequalities on time scales
Journal of King Saud University: Science, 2020 In this paper, some new Ostrowski and generalized Trapezoid type inequalities on time scales are established. The Ostrowski type inequality is presented via a parameter function g:[0,1]→[0,1].
Adnan Tuna, Eze R. Nwaeze
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Open Mathematics, 2022 In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J. +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1151-1158, 2004., 2004 Let h be an entire function and Th a differential operator defined by Thf = f′ + hf. We show that Th has the Hyers‐Ulam stability if and only if h is a nonzero constant. We also consider Ger‐type stability problem for |1 − f′/hf| ≤ ϵ.
Takeshi Miura +2 more
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Analysis of Cauchy problem with fractal-fractional differential operators
Demonstratio Mathematica, 2023 Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain +2 more
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A more generalized Gronwall‐like integral inequality with applications
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 927-934, 2003., 2003 This paper deals with a new Gronwall‐like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992). The new Gronwall‐like integral inequality can be used in various problems in the theory of certain class of ordinary and integral equations.
Qinghua Ma, Lokenath Debnath
wiley +1 more source
Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3373-3383, 2003., 2003 Some variants of one‐dimensional and two‐dimensional integral inequalities of the Volterra type are applied to study the behaviour properties of the solutions to various boundary value problems for partial differential equations of the hyperbolic type. Moreover, new types of integral inequalities for one and two variables, being a generalization of the
Lechosław Hącia
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Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means
Annales Mathematicae Silesianae, 2023 In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
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Ostrowski Type Inequalities over Spherical Shells [PDF]
, 2008 2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a ...
Anastassiou, George A.
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