Results 21 to 30 of about 357 (173)
Some Bessel type additive inequalities in inner product spaces [PDF]
, 2021 In this paper we obtain some additive inequalities related to the cele- brated Bessel’s inequality in inner product spaces. They complement the results obtained by Boas-Bellman, Bombieri, Selberg and Heilbronn, which have been applied for almost ...
Dragomir, Sever S +2 more
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Some new estimates for Fej´er type inequalities in quantum analysis [PDF]
, 2017 In this paper we derive some new quantum estimates of Fej´er type inequalities which involve Riemann type of quantum integrals via some classes of convex functions.
RIAHI, Latifa +2 more
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Generalization of weighted Ostrowski Gruss type inequality by using Korkine’s identity
, 2020 We obtain generalized weighted Ostrowski-Grüss type inequality with parameters for differentiable functions by using the weighted Korkine’s identity, and we then apply these obtained inequalities to probability density functions.
Khan, AR +5 more
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Anisotropic Picone identities and anisotropic Hardy inequalities [PDF]
, 2017 In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type ...
Xuewei Cui +4 more
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, 2022 In this work, we establish some new midpoint and trapezoidal type inequalities for prequasiinvex functions via the Katugampola fractional integrals. Some of the results obtained in this paper are generalizations of some earlier results in the literature.
NWAEZE, Eze R., KERMAUSUOR, Seth
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Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
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On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)‐calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)‐derivatives and (p,q ...
Jen Chieh Lo, Lei Su
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A note on the Wang-Zhang and Schwarz inequalities
, 2018 In this note we show that the Wang-Zhang inequality can be naturally applied to obtain an elegant reverse for the classical Schwarz inequality in complex inner product spaces.
Dragomir, Silvestru +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız +4 more
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