Results 11 to 20 of about 51,376 (117)
Advances in Differential Equations, 2020 The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
K. Nisar +4 more
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Journal of Mathematics and Computer Science, 2020 In this paper, Levinson-type inequalities are generalized by using Taylor polynomial for the class of k -convex ( k (cid:62) 3 ) functions. Bounds for the remainders in new generalized identities involving data points of two types are given by using ...
M. Adeel +3 more
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Some informational inequalities involving generalized trigonometric functions and a new class of generalized moments [PDF]
Journal of Physics A: Mathematical and TheoreticalIn this work, we define a family of probability densities involving the generalized trigonometric functions defined by Drábek and Manásevich (1999 Differ. Integral Equ. 12 773–88), which we name generalized trigonometric densities (GTDs).
D. Puertas-Centeno, S. Zozor
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Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales
Journal of Inequalities and Applications, 2022 The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature.
A. El-Deeb +3 more
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Inequalities involving general fractional integrals of p-convex functions
Turkish Journal of Mathematics, 2023 : The Hermite-Hadamard type inequalities involving fractional integral operations for p-convex functions with respect to another function are studied. Then, the inequalities via Riemann-Liouville and Hadamard fractional integrals are presented specially.
Ilknur Yesilce Isik +3 more
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Some new inequalities of the Ostrowski-Grüss, Čebyšev, and Trapezoid types on time scales
Journal of Nonlinear Science and its Applications, 2018 In this paper, we establish some novel Ostrowski-Grüss, Čebyšev, and Trapezoid type inequalities involving functions whose second derivatives are bounded on time scales. We also give some other interesting inequalities as special cases of our results.
E. Nwaeze +3 more
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Journal of Mathematics and Computer Science, 2021 The main objective of this article is to employ the concept of preinvexity to establish some new inequalities. In addition, we discuss some algebraic properties and examples of the generalized preinvex function.
M. Tariq +4 more
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Some Integral Inequalities Involving Exponential Type Convex Functions and Applications
Journal of Mathematical Analysis and Modeling, 2021 In this present case, we focus and explore the idea of a new family of convex function namely exponentialtype m–convex functions. To support this newly introduced idea, we elaborate some of its nice algebraicproperties. Employing this, we investigate the
Muhammad Tariq Muhammad Tariq +3 more
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Generalization of the Levinson inequality with applications to information theory
Journal of Inequalities and Applications, 2019 In the presented paper, Levinson’s inequality for the 3-convex function is generalized by using two Green functions. Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types.
M. Adeel +3 more
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Journal of mathematics, 2022 In this paper, we make use of a certain Ruscheweyh-type q -differential operator to introduce and study a new subclass of q -starlike symmetric functions, which are associated with conic domains and the well-known celebrated Janowski ...
Mohammad Faisal Khan +4 more
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