TY - JOUR AU - Kórus, Péter TI - English summary: Bayraktar, Bahtiyar; Valdés, Juan E. Napoles; Rabossi, Florencia; Samaniego, Aylen D. Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral. Proyecciones 42 (2023), no. 5, 1221–1239. JF - MATHEMATICAL REVIEWS J2 - MATHEMATICAL REVIEWS VL - 2024 PY - 2024 SN - 0025-5629 UR - https://m2.mtmt.hu/api/publication/34753223 ID - 34753223 LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter TI - English summary: Ojo, Adefisayo; Olanipekun, Peter Olamide: Refinements of generalised Hermite-Hadamard inequality. Bull. Sci. Math. 188 (2023), Paper No. 103316, 14 pp. JF - MATHEMATICAL REVIEWS J2 - MATHEMATICAL REVIEWS VL - 2024 PY - 2024 SN - 0025-5629 UR - https://m2.mtmt.hu/api/publication/34732807 ID - 34732807 LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter TI - English summary: Kubiak, Mateusz; Szal, Bogdan: A sufficient condition for uniform convergence of trigonometric series with $p$-bounded variation coefficients. Results Math. 78 (2023), no. 6, Paper No. 236, 19 pp. JF - MATHEMATICAL REVIEWS J2 - MATHEMATICAL REVIEWS VL - 2024 PY - 2024 SN - 0025-5629 UR - https://m2.mtmt.hu/api/publication/34732791 ID - 34732791 LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter AU - Szal, Bogdan TI - On the uniform convergence and integrability of special trigonometric integrals JF - MATHEMATICAL INEQUALITIES & APPLICATIONS J2 - MATH INEQUAL APPL VL - 27 PY - 2024 IS - 1 SP - 1 EP - 18 PG - 18 SN - 1331-4343 DO - 10.7153/mia-2024-27-01 UR - https://m2.mtmt.hu/api/publication/34566300 ID - 34566300 LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter TI - English summary: Bondarenko, Andriy; Radchenko, Danylo; Seip, Kristian: Fourier interpolation with zeros of zeta and L-functions. Constr. Approx. 57 (2023), no. 2, 405–461. JF - MATHEMATICAL REVIEWS J2 - MATHEMATICAL REVIEWS VL - 2024 PY - 2024 SN - 0025-5629 UR - https://m2.mtmt.hu/api/publication/34557745 ID - 34557745 LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter TI - English summary: Butt, Saad Ihsan; Sayyari, Yamin; Agarwal, Praveen; Nieto, Juan J.; Umar, Muhammad: On some inequalities for uniformly convex mapping with estimations to normal distributions. J. Inequal. Appl. 2023, Paper No. 89, 29 pp. JF - MATHEMATICAL REVIEWS J2 - MATHEMATICAL REVIEWS VL - 2024 PY - 2024 SN - 0025-5629 UR - https://m2.mtmt.hu/api/publication/34557728 ID - 34557728 LA - English DB - MTMT ER - TY - JOUR AU - Alzer, Horst AU - Kórus, Péter TI - Harmonic Numbers: Combinatorial Identities and Series Representations JF - INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY J2 - INTEGERS: ELECT J COMB NUM THEORY VL - 23 PY - 2023 PG - 12 SN - 1553-1732 DO - 10.5281/zenodo.10307293 UR - https://m2.mtmt.hu/api/publication/34449099 ID - 34449099 LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter AU - Nápoles Valdés, Juan E. AU - Quevedo Cubillos, María N. TI - Hermite–Hadamard type inequalities via weighted integral operators JF - PROYECCIONES JOURNAL OF MATHEMATICS J2 - PROYECCIONES J MATH VL - 42 PY - 2023 IS - 6 SP - 1499 EP - 1519 PG - 21 SN - 0716-0917 DO - 10.22199/issn.0717-6279-5497 UR - https://m2.mtmt.hu/api/publication/34411627 ID - 34411627 AB - In this paper, we consider general convex functions of various type. We establish some new integral inequalities of Hermite-Hadamard type for (h, s, m)-convex and (h, m)-convex functions, using generalized integrals. We also investigate differentiable functions with general convex derivative. The proven results generalize many results previously known from the literature. LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter TI - English summary: Ünal, Cihan; Hezenci, Fatih; Budak, Hüseyin: Some remarks on parameterized inequalities involving conformable fractional operators. Turkish J. Math. 47 (2023), no. 2, 590–607. JF - MATHEMATICAL REVIEWS J2 - MATHEMATICAL REVIEWS VL - 2023 PY - 2023 SN - 0025-5629 UR - https://m2.mtmt.hu/api/publication/34343213 ID - 34343213 LA - English DB - MTMT ER - TY - JOUR AU - Kórus, Péter AU - Nápoles Valdés, Juan Eduardo AU - Bayraktar, Bahtiyar TI - Weighted Hermite–Hadamard integral inequalities for general convex functions JF - MATHEMATICAL BIOSCIENCES AND ENGINEERING J2 - MATH BIOSCI ENG VL - 20 PY - 2023 IS - 11 SP - 19929 EP - 19940 PG - 12 SN - 1547-1063 DO - 10.3934/mbe.2023882 UR - https://m2.mtmt.hu/api/publication/34240608 ID - 34240608 AB -

In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite–Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann–Liouville and the -Riemann–Liouville fractional integral operators. The functions for which the operators were considered satisfy various conditions such as the -convexity, modified -convexity and -convexity.

LA - English DB - MTMT ER -